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.Mention d'édition: reprintedÉditeur : Cambridge : Cambridge University Press, 1966Description : 1 vol. (158 p.) ; 22 cmISBN: s.n..ISSN: 0068-6824.Bibliographie : Bibliogr. Index.Sujet MSC : 46Axx, Functional analysis - Topological linear spaces and related structures
46-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
46M05, Methods of category theory in functional analysis, Tensor products in functional analysis
46M40, Methods of category theory in functional analysis, Inductive and projective limits in functional analysis
En-ligne : Aperçu Google 1980 | Zentralblatt | MathSciNet Item type: Monographie
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46 ROB (Browse shelf(Opens below)) Available 04048-01

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. Index

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