Descriptive Topology and Functional Analysis

In Honour of Jerzy Kakol’s 60th Birthday

Juan Carlos Ferrando, Manuel López-Pellicer (Herausgeber)

Buch | Softcover

XII, 240 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-38151-0 (ISBN)

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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.

1 Some aspects in the Mathematical work of Jerzy Kakol.- 2 Weak barrelledness vs. P-spaces.- 3 On the topology of the sets of the real projections of the zeros of exponential polynomials.- 4 The density character of the space Cp(X).- 5 Compactness and distances to spaces of continuous functions and Fréchet spaces.- 6 Two classes of metrizable spaces l c- invariant.- 7 Characteristics of the Mackey topology for abelian topological groups.- 8 Bowen's Entropy for Endomorphisms of Totally Bounded Abelian.- 9 On preserved and unpreserved extreme points Groups.- 10 Cantor sets, Bernoulli shifts and linear dynamics.- 11 Some non-linear geometrical properties of Banach spaces.

Erscheinungsdatum	23.09.2016
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	XII, 240 p. 6 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Functional Analysis • Functional analysis and transforms • Function algebras and disk algebra • Groups and group theory • Integral calculus and equations • Lynear dynamics and operators • Mathematics • mathematics and statistics • measure and integration • operator theory • Spaces C(X) • t-equivalence • Topological Groups • Topological Groups, Lie Groups • Topology
ISBN-10	3-319-38151-2 / 3319381512
ISBN-13	978-3-319-38151-0 / 9783319381510
Zustand	Neuware