Bundles of Topological Vector Spaces and Their Duality di G. Gierz edito da Springer Berlin Heidelberg
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Bundles of Topological Vector Spaces and Their Duality

EAN:

9783540116103

ISBN:

3540116109

Pagine:
304
Formato:
Paperback
Lingua:
Tedesco
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Descrizione Bundles of Topological Vector Spaces and Their Duality

Notational remarks.- Basic definitions.- Full bundles and bundles with completely regular base space.- Bundles with locally paracompact base spaces.- Stone ¿ Weierstra¿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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