Barrelled Locally Convex Spaces - ISBN:044470129X

Barrelled Locally Convex Spaces

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Barrelled Locally Convex Spaces (North-Holland Mathematics Studies)
By P. Perez-Carreras
* Publisher: Elsevier Science Ltd
* Number Of Pages: 528
* Publication Date: 1987-04
* ISBN-10 / ASIN: 044470129X
* ISBN-13 / EAN: 9780444701299
Product 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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