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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.
Autorius: | G. Gierz |
Serija: | Lecture Notes in Mathematics |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 1982 |
Knygos puslapių skaičius: | 304 |
ISBN-10: | 3540116109 |
ISBN-13: | 9783540116103 |
Formatas: | 235 x 155 x 17 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Bundles of Topological Vector Spaces and Their Duality“