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Functional Analysis and Continuous Optimization

In Honour of Juan Carlos Ferrando's 65th Birthday, Elche, Spain, June 16–17, 2022

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. José M. Amigó

    1. Center of Operations Research, Miguel Hernández University of Elche, Elche, Spain

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  2. María J. Cánovas

    1. Center of Operations Research, Miguel Hernández University of Elche, Elche, Spain

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  3. Marco A. López-Cerdá

    1. Department of Mathematics, Alicante University, San Vicente del Raspeig, Spain

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  4. Manuel López-Pellicer

    1. Institute for Pure and Applied Mathematics (IUMPA), Polytechnic University of Valencia, Valencia, Spain

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  • Very recent results on functional analysis
  • Presentation of open problems in all chapters
  • Written jointly by researchers in Functional Analysis and researchers in Optimization, using Functional Analysis

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 424)

Included in the following conference series:

Conference proceedings info: IMFACO 2022.

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Table of contents (12 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. The Mathematical Research of Juan Carlos Ferrando

    • Manuel López-Pellicer
    Pages 1-48

  3. A Class of Monothetic Reflexive Groups and the Weil Property

    • L. Außenhofer
    Pages 49-63

  4. Reciprocation and Pointwise Product in Vector Lattices of Functions

    • Gerald Beer, M. Isabel Garrido
    Pages 65-85

  5. Lipschitzian Stability in Linear Semi-infinite Optimization

    • M. J. Cánovas, J. Parra
    Pages 87-111

  6. Bounded Duality in Topological Abelian Groups

    • M. J. Chasco, E. Martín-Peinador
    Pages 113-121

  7. Topological Properties of the Weak and Weak\(^*\) Topologies of Function Spaces

    • Saak Gabriyelyan
    Pages 123-135

  8. The Degree of Non-densifiability of Bounded Sets of a Banach Space and Applications

    • G. García, G. Mora
    Pages 137-166

  9. A New Tour on the Subdifferential of the Supremum Function

    • Abderrahim Hantoute, Marco A. López-Cerdá
    Pages 167-194

  10. Optimality Conditions for Quasi Proper Solutions in Multiobjective Optimization with a Polyhedral Cone

    • L. Huerga, B. Jiménez, V. Novo
    Pages 195-211

  11. On Distinguished Spaces \(C_p(X)\) of Continuous Functions

    • J. Ka̧kol, A. Leiderman
    Pages 213-236

  12. Variational Convexity of Functions in Banach Spaces

    • Pham Duy Khanh, Vu Vinh Huy Khoa, Boris S. Mordukhovich, Vo Thanh Phat
    Pages 237-260

  13. Commutators on Power Series Spaces Over Non-Archimedean Fields

    • Wiesław Śliwa, Agnieszka Ziemkowska-Siwek
    Pages 261-270
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  1. Functional Analysis and Continuous Optimization

Keywords

About this book

The book includes selected contributions presented at the "International Meeting on Functional Analysis and Continuous Optimization" held in Elche (Spain) on June 16–17, 2022. Its contents cover very recent results in functional analysis, continuous optimization and the interplay between these disciplines. Therefore, this book showcases current research on functional analysis and optimization with individual contributions, as well as new developments in both areas. As a result, the reader will find useful information and stimulating ideas.

Editors and Affiliations

  • Center of Operations Research, Miguel Hernández University of Elche, Elche, Spain

    José M. Amigó, María J. Cánovas

  • Department of Mathematics, Alicante University, San Vicente del Raspeig, Spain

    Marco A. López-Cerdá

  • Institute for Pure and Applied Mathematics (IUMPA), Polytechnic University of Valencia, Valencia, Spain

    Manuel López-Pellicer

About the editors

José M. Amigó

Full professor of Applied Mathematics at Miguel Hernández University in Elche (Spain). He has (co-)authored 136 publications (Publons), including the monograph “Permutation Complexity in Dynamical Systems” (Springer 2010), and is co-owner of the Spanish patent “Design of Catheters for the Treatment of Hydrocephalus’’ (2014). He has been a member of many scientific and organizing committees as well as a speaker at numerous international conferences. His current scientific interests include dynamical systems, information theory and mathematical physics.

María J. Cánovas

Full Professor of Statistics and Operational Research at the Miguel Hernández University of Elche from 2012. Her fields of interest include parametric optimization, variational analysis and stability in linear and convex optimization. She has published more than fifty articles in JCR journals in the areas of Applied Mathematics and Statistics and Operations Research and has led different national research projects in Spain. She has organized several international conferences and is a member of the editorial board of the Pacific Journal of Optimization.

Marco A. López- Cerdá is Emeritus Professor at Alicante University, Doctor Honoris Causa by the University of Limoges in 2012, and Corresponding Member of the Real Academia de Ciencias of Spain since 2014. His research subjects include semi-infinite programming, convex optimization, and variational analysis. According to MathSciNet, he published 159 research papers and got 2051 citations by 702 authors

Manuel López-Pellicer is Professor of Functional Analysis (1975-78), Full Professor of Applied Mathematics in Valencia Technical University (1978-15), and now Professor Emeritus. He supervised 11 doctoral theses, with 58 descendants, and has written more than 100 papers in General Topology and Functional Analysis. He is Co-author of the books "Metrizable Barrelled Spaces" (Longman 1995) and "Descriptive Topology in Selected Topics of Functional Analysis" (Springer 2011), Member of Spanish Royal Academy of Sciences (1998-), and Editor of RACSAM (2004-). 




Bibliographic Information

  • Book Title: Functional Analysis and Continuous Optimization

  • Book Subtitle: In Honour of Juan Carlos Ferrando's 65th Birthday, Elche, Spain, June 16–17, 2022

  • Editors: José M. Amigó, María J. Cánovas, Marco A. López-Cerdá, Manuel López-Pellicer

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-031-30014-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-30013-4Published: 03 July 2023

  • Softcover ISBN: 978-3-031-30016-5Due: 14 August 2023

  • eBook ISBN: 978-3-031-30014-1Published: 01 July 2023

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: VIII, 270

  • Number of Illustrations: 4 b/w illustrations, 2 illustrations in colour

  • Topics: Analysis

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