Kniha Convergence Structures and Applications to Functional Analysis R. Beattie

Convergence Structures and Applications to Functional Analysis

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 286
This text offers a rigorous introduction into the theory and methods of convergence spaces and gives...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2007
Stránek
264
EAN
9781402005664
ISBN
1402005660
Enbook ID
01414770
Hmotnost
590
Rozměry
155 x 235 x 20

Kompletní popis

This text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. While there are a few books dealing with convergence spaces and a great many on functional analysis, there are none with this particular focus.§The book demonstrates the applicability of convergence structures to functional analysis. Highlighted here is the role of continuous convergence, a convergence structure particularly appropriate to function spaces. It is shown to provide an excellent dual structure for both topological groups and topological vector spaces.§Readers will find the text rich in examples. Of interest, as well, are the many filter and ultrafilter proofs which often provide a fresh perspective on a well-known result.§Audience: This text will be of interest to researchers in functional analysis, analysis and topology as well as anyone already working with convergence spaces. It is appropriate for senior undergraduate or graduate level students with some background in analysis and topology.

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