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Descriptive Topology and Functional Analysis

In Honour of Jerzy Kakol’s 60th Birthday

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Juan Carlos Ferrando

    1. Center Operations Research Univ. Inst., Universidad Miguel Hernandez, Elche, Spain

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  2. Manuel López-Pellicer

    1. Matematica Aplicada, Universidad Politecnica de Valencia, Valencia, Spain

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    You can also search for this editor in PubMed   Google Scholar

  • Falls between two very active research areas: descriptive topology and functional analysis
  • Each chapter brings together results obtained recently by several prestigious researchers in these fields
  • Dedicated to Professor Jerzy Kakol, a leading expert in descriptive topology applied to functional analysis
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 80)

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Table of contents (11 papers)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Some Aspects in the MathematicalWork of Jerzy K a̧ kol

    • Manuel López-Pellicer, Santiago Moll
    Pages 1-26

  3. Weak Barrelledness Versus P-spaces

    • Stephen A. Saxon
    Pages 27-32

  4. On the Topology of the Sets of the Real Projections of the Zeros of Exponential Polynomials

    • Gaspar Mora
    Pages 33-55

  5. The Density Character of the Space \(C_p(X)\)

    • María Muñoz Guillermo, J. C. Ferrando, M. López-Pellicer
    Pages 57-74

  6. Compactness and Distances to Spaces of Continuous Functions and Fréchet Spaces

    • Carlos Angosto, Manuel López-Pellicer
    Pages 75-93

  7. Two Classes of Metrizable Spaces \(\ell _{c}\)-Invariant

    • Manuel López-Pellicer
    Pages 95-116

  8. Characteristics of the Mackey Topology for Abelian Topological Groups

    • José Manuel Díaz Nieto, Elena Martín Peinador
    Pages 117-141

  9. Bowen’s Entropy for Endomorphisms of Totally Bounded Abelian Groups

    • Domingo Alcaraz, Dikran Dikranjan, Manuel Sanchis
    Pages 143-162

  10. On Preserved and Unpreserved Extreme Points

    • Antonio José Guirao, Vicente Montesinos, Václav Zizler
    Pages 163-193

  11. Cantor Sets, Bernoulli Shifts and Linear Dynamics

    • Salud Bartoll, Félix Martínez-Giménez, Marina Murillo-Arcila, Alfredo Peris
    Pages 195-207

  12. Some Non-linear Geometrical Properties of Banach Spaces

    • Domingo García, Manuel Maestre
    Pages 209-240
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Keywords

About this book

Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems. The second section is devoted to Banach spaces, Banach algebras and operator theory. Each chapter presents a lot of worthwhile and important recent theorems with an abstract discussing the material in the chapter. Each chapter can almost be seen as a survey covering a particular area.

Editors and Affiliations

  • Center Operations Research Univ. Inst., Universidad Miguel Hernandez, Elche, Spain

    Juan Carlos Ferrando

  • Matematica Aplicada, Universidad Politecnica de Valencia, Valencia, Spain

    Manuel López-Pellicer

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