1.

Record Nr.

UNISA996466576703316

Autore

Gierz Gerhard

Titolo

Bundles of topological vector spaces and their duality / / Gerhard Gierz

Pubbl/distr/stampa

Berlin : , : Springer-Verlag, , [1982]

©1982

ISBN

3-540-39437-0

Edizione

[1st ed. 1982.]

Descrizione fisica

1 online resource (VI, 298 p.)

Collana

Lecture notes in mathematics ; ; 955

Disciplina

515.73

Soggetti

Linear topological spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Notational remarks -- Basic definitions -- Full bundles and bundles with completely regular base space -- Bundles with locally paracompact base spaces -- Stone — Weierstraß theorems for bundles -- An alternative description of spaces of sections: Function modules -- Some algebraic aspects of ?-spaces -- A third description of spaces of sections: C(X)-convex modules -- C(X)-submodules of ?(p) -- Quotients of bundles and C(X)-modules -- Morphisms between bundles -- Bundles of operators -- Excursion: Continuous lattices and bundles -- M-structure and bundles -- An adequate M-theory for ?-spaces -- Duality -- The closure of the "unit ball" of a bundle and separation axioms -- Locally trivial bundles: A definition -- Local linear independence -- The space Mod(?(p),C(X)) -- Internal duality of C(X)-modules -- The dual space ?(p)' of a space of sections.