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AuthorGierz, Gerhard. author
TitleBundles of Topological Vector Spaces and Their Duality [electronic resource] / by Gerhard Gierz
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1982
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Descript VI, 298 p. online resource


Notational remarks -- Basic definitions -- Full bundles and bundles with completely regular base space -- Bundles with locally paracompact base spaces -- Stone โ{128}{148} Weierstraร{159} 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

Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis


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