ENGLISH

Barrelled locally convex spaces

By P. Perez-Carreras

Book information

Publisher
North-Holland
Year
1987
ISBN
044470129X, 9780444701299, 9780080872421
LCC
QA1 .N86 no. 113,QA322 .N86 no. 113
Language
english
Format
DJVU
Filesize
4 MB (4510663 bytes)
Series
Notas de matematica 113 North-Holland mathematics studies 131
Pages
529\529
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26

Description

This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques. Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces.

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