Bundles of Topological Vector Spaces and Their Duality. 1st ed. 1982

種類:

電子ブック

責任表示:

by G. Gierz

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1982

著者名:

• Gierz, G.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 955

ISBN:

9783540394372 [3540394370]    

注記:

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.

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