Descriptive topology and functional analysis : in honor of Jerzy Kąkol's 60th birthday
Topology sähkökirjat
Springer
2014
EISBN 9783319052243
1Some aspects in the Mathematical work of Jerzy Kakol.
2Weak barrelledness vs. P-spaces.
3On the topology of the sets of the real projections of the zeros ofexponential polynomials.
4The density character of the space Cp(X).
5Compactness and distances to spaces of continuous functions andFréchet spaces.
6Two classes of metrizable spaces lc-invariant.
7Characteristics of the Mackey topology for abelian topologicalgroups.
8Bowen's Entropy for Endomorphisms of Totally Bounded Abelian.
9On preserved and unpreserved extreme pointsGroups.
10Cantor sets, Bernoulli shifts and linear dynamics.
11Some non-linear geometrical properties of Banach spaces.
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.
2Weak barrelledness vs. P-spaces.
3On the topology of the sets of the real projections of the zeros ofexponential polynomials.
4The density character of the space Cp(X).
5Compactness and distances to spaces of continuous functions andFréchet spaces.
6Two classes of metrizable spaces lc-invariant.
7Characteristics of the Mackey topology for abelian topologicalgroups.
8Bowen's Entropy for Endomorphisms of Totally Bounded Abelian.
9On preserved and unpreserved extreme pointsGroups.
10Cantor sets, Bernoulli shifts and linear dynamics.
11Some non-linear geometrical properties of Banach spaces.
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.
