Barrelled Locally Convex Spaces (North-holland Mathematical Library)

Barrelled Locally Convex Spaces (North-holland Mathematical Library)

ISBN10: 044470129X
ISBN13: 978-0444701299
Author: -
Title: Barrelled Locally Convex Spaces (North-holland Mathematical Library)
Publisher: Elsevier Science Ltd (April 1, 1987)
Language: English
Size ePub: 1686 kb
Size PDF: 1348 kb
Rating: 4.3/5
Votes: 325
Pages: 528 pages
Subcategory: Mathematics

Barrelled Locally Convex Spaces (North-holland Mathematical Library)



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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