Descriptive Topology and Functional Analysis

1. Front Matter

   Pages i-xii

   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

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.

• Function algebras and disk algebra
• Lynear dynamics and operators
• Spaces C(X)
• Topological groups
• t-equivalence

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

  Juan Carlos Ferrando

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

  Manuel López-Pellicer

Policies and ethics