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Topological vector spaces / A. P. Robertson, Wendy Robertson

Auteur principal : Robertson, Alexander Provan, 1925-1995, AuteurCo-auteur : Robertson, Wendy Jean, 1927-, AuteurType de document : MonographieCollection : Cambridge tracts in mathematics and mathematical physics, 53Langue : anglais.Pays : Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1964Description : 1 vol. (VIII-158 p.) ; 22 cmISBN : s.n..ISSN : 0068-6824.Bibliographie : Bibliogr. p. 155-156. Index.Sujet MSC : 46Axx, Functional analysis, Topological linear spaces and related structures
46M05, Functional analysis -- Methods of category theory in functional analysis, Tensor products
46M40, Functional analysis -- Methods of category theory in functional analysis, Inductive and projective limits
46-01, Functional analysis, Instructional exposition (textbooks, tutorial papers, etc.)
En-ligne : Aperçu Google 1980 | MathSciNet
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Salle R
46 ROB (Browse shelf) Available 04217-01
Salle R
46 ROB (Browse shelf) Available 04217-02

This short book, which is completely worthy of its place in the series of Cambridge Tracts, may be used as a text for a first-year graduate course. The chapters are the following: I (Introductory); II Duality and Hahn-Banach theorem; III Topologies on dual spaces and the Mackey-Arens theorem; IV Barrelled spaces and the Banach-Steinhaus theorem; V Inductive and projective limits; VI Completeness and the Closed-Graph theorem; VII Some further topics (Tensor products, extreme points, etc.); VIII Compact linear mappings. There are plenty of examples and a perfectly adequate bibliography. There are no exercises for the student. The terminology and notation agree, to a reasonable extent, with the usage of Bourbaki. (MathSciNet)

Bibliogr. p. 155-156. Index

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