Special Issue: Recent Developments in Contemporary Mathematics and their Applications “Dedicated to Professor Manuel López-Pellicer on the occasion of his 81st anniversary”;

A special issue of Montes Taurus Journal of Pure and Applied Mathematics (ISSN 2687-4814).

This special issue will be published in collaboration with “The 8th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2025), held at School of Applied Mathematics and Informatics, (University of Osijek) in Osijek, CROATIA on September 8–12, 2025“. However, for this special issue, our journal welcomes submissions from not only participants of the conference MICOPAM 2025, but also other authors who wish to contribute to this special issue, and as a result of referee evaluation, successful submissions will be published in this special issue.

Deadline for manuscript submissions: September 30, 2025 (Extended to October 31, 2025).

Special Issue Editors

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In progress (Volume 7 / Issue 3 / Year 2025 (Special Issue))

This special issue is in progress but contains articles that are final and fully citable. This issue is regarded as officially published after the cover and table of contents are published.

The following list shows only the research papers published by being assigned to the Special Issue: Recent Developments in Contemporary Mathematics and their Applications “Dedicated to Professor Manuel López-Pellicer on the occasion of his 81st birthday”.

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Manuscript submission continues up to September 1, 2025 (Extended to October 31, 2025)!

Since manuscript submission to this special issue continues, the authors should read the following information about this special issue before submitting their manuscript:

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Special Issue Information

Dear Colleagues,

This Special Issue of the Montes Taurus Journal of Pure and Applied Mathematics (MTJPAM) (ISSN: 2687-4814) is dedicated to Professor Manuel López-Pellicer on the occasion of his 81st anniversary.

On this occasion, we, as the editors of this special issue, invite high-quality original research papers dealing with Recent Developments in Contemporary Mathematics and their Applications, and other related areas.

We are looking forward to receiving your valuable and high quality submissions.

Best wishes,
Special Issue Editors:
  Professor Hari Mohan Srivastava,
  Professor Yilmaz Simsek.

Keywords for this special issue:

• Recent Developments in Contemporary Mathematics and their Applications
• and Other Related Areas.

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Manuscript Submission Information

Manuscripts should be submitted by sending an email (including a cover letter to one of the Special Issue Editors, TeX and PDF files of the manuscript compatible with the TeX style of MTJPAM) to the following email address: mtjpamath@gmail.com.

Manuscripts may also be submitted by sending an email to the email address of the Special Issue Editor. While submitting your manuscript, do not forget to notify one of the Special Issue Editors by a cover letter which states that your manuscript is for the Special Issue: Recent Developments in Contemporary Mathematics and their Applications “Dedicated to Professor Manuel López-Pellicer on the occasion of his 81st anniversary”.

Manuscripts must be compatible with the TeX style of the journal. The authors may download TeX style here.

During the preparation of the manuscript, the authors must follow the items stated in CHECKLIST which summarizes both the publication policy and the writing rules of our journal.

Remark that the following sentence: “This paper is dedicated to Professor Manuel López-Pellicer on the occasion of his 81st anniversary” must be inserted in the “Acknowledgements” section of the manuscript.

All papers will be peer-reviewed by at least two referees. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 300 words, see also (FOR AUTHORS section)) can be sent to the MTJPAM Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the following pages:
https://mtjpamjournal.com/submission
and
https://mtjpamjournal.com/for-authors

The Montes Taurus Journal of Pure and Applied Mathematics is published at least twice a year and also this journal is free of charge (For details, see: https://mtjpamjournal.com/about-the-journal). Consequently, this special issue will be published as 3rd issue regardless of the regular issues of our journal.

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Manuel López-Pellicer, (Universitat Politécnica de Valencia, SPAIN)

To view the Curriculum Vitae of Manuel López-Pellicer, please click here!

Professor Manuel López-Pellicer‘s Abstract Curriculum Vitae:

1. Professor Manuel López-Pellicer was born in Valencia in 1944. Ph.D. in Mathematics by University of Valencia, first thesis directed by Prof. M. Valdivia (1970) with Cañada-Blanch doctorate award. Professor Manuel López-Pellicer has the highest number of descendants among Valdivia’s disciples, with 58, followed by four Valdivia disciples with 33, 28, 15, and 13 descendants, as recorded in Mathematics Genealogy Project.

2. Secondary school teacher (1968-75) with many brilliant students in Maths Olympiads. Full Professor in Applied Mathematics Department at Polytechnic University of Valencia, UPV,(1978-2015), being its director in 1979-84 and 86-97, ICE (director 1984-86). Valencian School Council (1986-02) and in its Permanent Commission as member of Recognized Prestige (2002-05). Teaching Excellence Award (2002-03), member of IUMPA Scientific Committee (2004-15), University Ombudsman (2006-15), Maths coordinator (1978-2020). On the web of 50th UPV anniversary (06/12/2018) appears “Speeches: Rector Francisco Mora and Manuel López Pellicer”.

3. 11 students. 206 publications (901 citations, 310 since 2018, h=13, i10=23 -Google Scholar-), with two monographs Metrizable barrelled spaces, Longman, 1995, 238 pp. and Descriptive topology in selected topics of functional analysis. Springer, 2011, 493 pp, and The contribution of Jorge Juan to the Earth’s shape problem for 2019 ICIAM, quadrennial world congress that each issue commissions one paper on a distinguished mathematical contribution from the host country.

4. Member of Spanish Royal Academy of Sciences (1998 -), Secretary of its Mathematics Section (2000-07). Since 2004 Editor-in-Chief of Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A-Matemáticas, founded in 2001. It is the only Spanish mathematics journal in the top decile in each of the last three JCRs published (29/330-2020, 26/332-2021, and 15/329-2022, published on 28/6/2023). In the dissemination program of the Scientific Culture of the Academy, Professor Manuel López-Pellicer has 4 of the 5 mathematical conferences with the most views, being the two firsts “Ramanujan, a great mathematician…” and “Riemann hypothesis…” with 105978 and 55201 views on 4/3/2024 in five years. They had 88695 and 48284 views on 13/3/2023.

List his 5 most important publications:

1ª. Ferrando, Juan C.; López Pellicer, Manuel. Strong barrelledness properties in ℓ0∞(𝑋𝑋,𝒜𝒜) and bounded finite additive measures. Mathematische Annalen 287(4) (1990), 727–736. Citations: 8 en MathSciNet, 33 in Google. Journal in position 24/118 (JCR 1990).

2ª. López-Pellicer, Manuel. Webs and bounded finitely additive measures. Journal of Mathematical Analysis and Applications 210 (1) (1997), 257–267. Citations: 13 in MathSciNet, 34 in Google Scholar. Journal in position 64/136 (JCR 1997).

3ª. Ferrando, Juan C.; Kąkol, Jerzy; López Pellicer, Manuel; Saxon, Stephen. A. Tightness and distinguished Fréchet spaces. Journal of Mathematical Analysis and Applications 324 (2) (2006), 862–881. Citations: 31 in MathSciNet, 48 in Google. Journal in position 46/186 (JCR 2006).

4ª. Kąkol, Jerzy; López-Pellicer, Manuel. On Valdivia strong version of Nikodym boundedness property. Journal of Mathematical Analysis and Applications 446 (1) (2017), 1–17. Citations: 7 in MathSciNet (2 citations from L. Zdomskyy and others in 2019 y 2023), 19 in Google Scholar. Journal in position 53/309 (JCR 2017).

5ª. Kąkol, Jerzy; Kubiś, Wiesław; López-Pellicer, Manuel. Descriptive topology in selected topics of functional analysis. Developments in Mathematics, 24. Springer, New York, 2011. xii+493 pp. ISBN: 978-1-4614-0528-3; e-ISBN 978-1-4614-0529-0. Citations:120(MathSciNet),189(Google). Books downloaded: Over 20.000. Chapters downloaded: 19193 (2011 – 2021).

Descriptive Topology in Selected Topics of Functional Analysis Second Edition – Updated and Expanded, 831 pages, delivered to Springer in December 10, 2023.

Summary of his main contributions and the impact of his work:

1. Summary of main contributions with some results:

The main objective of his research is centered on innovative development and application of topological methods to gain more knowledge about several classes of spaces in Functional Analysis and operators between them. Jointly with specialists from Spain, Israel, Poland and United States, we successfully extended several results about distinguished Fréchet spaces, (DF)-, (LB)- and (LF)- spaces, spaces of measures, analytic, K-analytic and Suslin spaces, providing solutions to several longstanding open problems, some described in (1A)-(1D).

(1A) Kömura obtained in 1964 a topological vector space, tvs, (E,U) whose k-topology Uk is regular but (E, Uk) is not a tvs, being Uk the finest topology with the same compact subsets as U.

In 1974, Professor Manuel López-Pellicer obtained the first example of a completely regular topological space (X,U) whose k-topology Uk is not regular, hence for (Cc(X)*, weak*) the k-topology (weak*)k is not regular and it proved the existence of non-regular Grothendieck topologies Tf.

(1B) In 2006 we characterized that a Fréchet space E is distinguished if its strong dual F has countable tightness, and get several topological properties related with cardinality assumptions.

With our inequality for the distance to a Fréchet space E of points of the weak* closure in E** of a bounded subset of E we obtained in 2013 a quantitative version of Krein’s theorem for Fréchet spaces, extending the versions of Hajek, Marciszewski and Zizler for Banach spaces.

(1C) In 2008 we found a very large class S of locally convex spaces whose duals endowed with the weak* or with the precompact-open topologies are quasi-Suslin, unifying properties studied with different methods for subclasses of S.

Our quasi-Suslin space X with X×X non quasi-Suslin rectify a classic productivity error (2010).

For X compact, C(X) is weak-K-analytic if and only if Cp(X) is K-analytic (Talagrand). We add if and only if C(X) is K-analytic with topology of point convergence on a Gδ-dense subset of X. Moreover, for a Tychonoff space X, we extend Talagrand equivalence to Cb(X) in 2017.

For Tychonoff spaces X and Y, the isomorphism of topological rings Cp(X) and Cp(Y) implies the homeomorphism of X and Y (Nagata). In 2014 we found that isomorphism of topological vector spaces Cp(X) and Cp(Y) only imply that X and Y share certain topological properties, such as Lindelöf Σ or K-analytic, getting similar results if Cc(X) and Cc(Y) are isomorphic.

(1D) Let ba(𝒜𝒜) the Banach space of finitely additive bounded scalar measures defined on an algebra 𝒜𝒜 of subsets endowed with the variation norm. A subset ℬ of 𝒜𝒜 has property N if ℬ-pointwise boundednes in ba(𝒜𝒜) implies boundedness in ba(𝒜𝒜). ℬ has property G if ℬ-pointwise convergence of a bounded sequence in ba(𝒜𝒜) implies its weak convergence.

ℬ has the property sN (sG) if every countably increasing covering of ℬ has an element with property N (G). ℬ has property wN (wG) if each web in ℬ has a string whose elements have property N (G). These properties enable to improve deeps results of Measure Theory.

If 𝒜𝒜 is a σ-algebra then 𝒜 has properties N (Nikodým-Grothendieck), G (Grothendieck), sN (Valdivia), wN and wG (López Pellicer 1997, improving results of 1990, and 2021).

Let 𝒜 be an algebra. Valdivia asked if property N of 𝒜𝒜 implies that 𝒜𝒜 has property sN (2013). We get an affirmative answer for a class of rings of subsets in 2019. Our feeling is that the general solution of this Valdivia open problem could be related with axiomatic system.

2. Impact of his work.

(2A) Impact of our monograph and international relations. The described main goal of his research, explored also in recent papers of Banakh, Gabriyelyan, Gartside, Tsaban, Zdomsky and several of his 58 descendents, among others, lead finally to our monograph Descriptive topology in selected topics of functional analysis, first monograph to approach Functional Analysis from the perspective of Descriptive Topology. It gathers and extends several results starting from early papers of Corson until recent results, including technics of transfinite decompositions into smaller subspaces to get properties of non-separable spaces.

The second edition of our monograph was suggested by Springer due to its popularity among specialists. The extension of the first edition by another 350 pages, updating new results from recent research, required very intensive international cooperation with scientific centers in Austria, Israel, Italy, Poland, Spain, Ukraine and United States. In February 2023 Professor Manuel López-Pellicer visited the prestigious Kurt Gödel Research Center at the University of Viena to discuss the final work of this extension with Professors Kakol, Sobota and Zdomskyy.

(2B) Impact of his research work in Smolyanov monograph. The monograph of V.I. Bogachev and O.G. Smolyanov, Topological Vector Spaces and Their Applications, Springer 2017, X+456 pp., doi 10.1007/978-3-319-57117-1, was an initiative of V.I. Sobolev (see pp. X), whose spaces facilitate the modern treatment of Differential Equations, essential in science and technology. M. Valdivia, A. Grothendieck and M. Talagrand have 9, 6 and 6 references, respectively, being the three authors with most references in Smolyanov monograph:

O.G. Smolyanov (co-author with 23), S.A. Shkarin (with 12) and Professor Manuel López-Pellicer (with 11 references).

(2C) Social impact of his work in RACSAM. At the beginning of his 20 years work (2004 – ) as Editor-in-Chief its diffusion was very limited and local. Professor Manuel López-Pellicer managed its entry in JCR 2009 and its edition and distribution by Springer 2011. After the three last JCRs positions, 29/330, 26/332 and 15/329 of Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Matemáticas, it is widely recognized that it enhances the international presence of our Academy of Sciences as well as Spanish Mathematics. The last JCR appeared on 28/6/2023, the Academy published “The RAC mathematics journal in the top 15 in the world”. Professor Manuel López-Pellicer manage the renewal Agreement with Springer for RACSAM edition, from 1/1/2024 to 31/12/2034. RACSAM is also the only top decile Spanish mathematics journal in the last China relation by Impact factor (54/558, 2023/12/27). RACSAM received 101 papers in 2011 and 1363 in 2023.

(2D) Educational impact of his work. Manuel Valdivia, who gave the same importance to research as to teaching to guarantee continuity, motivated also his educational work. To the 11 Ph.D., 58 descendants and 4 of the 5 mathematical conferences with most views in Academy of Sciences (click Populares) mentioned, Professor Manuel López-Pellicer should add the recent invitation to prestigious “Invited Lecture Series” of the Adam Mickiewicz University (Poznan, January 23, 2024), for recognized mathematicians to give lectures to specialists, including students with a didactic purpose. Professors G. Godefroy (Paris), M. Fabian (Prague) and A. Leiderman (Beer-Sheva) gave the lectures in 2023.

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