Bundles of Topological Vector Spaces and Their Duality / Edition 1

Bundles of Topological Vector Spaces and Their Duality / Edition 1

by G. Gierz
ISBN-10:
3540116109
ISBN-13:
9783540116103
Pub. Date:
10/13/1982
Publisher:
Springer Berlin Heidelberg
ISBN-10:
3540116109
ISBN-13:
9783540116103
Pub. Date:
10/13/1982
Publisher:
Springer Berlin Heidelberg
Bundles of Topological Vector Spaces and Their Duality / Edition 1

Bundles of Topological Vector Spaces and Their Duality / Edition 1

by G. Gierz

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Product Details

ISBN-13: 9783540116103
Publisher: Springer Berlin Heidelberg
Publication date: 10/13/1982
Series: Lecture Notes in Mathematics , #955
Edition description: 1982
Pages: 298
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

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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