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Bundles of Topological Vector Spaces and Their Duality
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Bundles of Topological Vector Spaces and Their Duality ([EBook] /) / by Gerhard Gierz.
Author
Gierz, Gerhard
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1982.
Physical Details
VI, 298 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 955
ISBN
9783540394372
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0068863
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Mathematics
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Authors:
Gierz, Gerhard
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515
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