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Barrelled Locally Convex Spaces (North-Holland Mathematics Studies) by Pedro Pérez Carreras and José Bonet (Eds.) is a nonfiction available to read on EtoBox.

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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. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and B-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphic

Who reads Barrelled Locally Convex Spaces (North-Holland Mathematics Studies)?

Author

Pedro Pérez Carreras and José Bonet (Eds.)

Publisher

Elsevier Science Ltd

Published

1987

Language

EN

ISBN

9780080872421

Category

nonfiction

Subjects

Mathematics, Stem