Bundles of Topological Vector Spaces and Their Duality
Gierz, Gerhard.
Bundles of Topological Vector Spaces and Their Duality [electronic resource] / by Gerhard Gierz. - VI, 298 p. online resource. - Lecture Notes in Mathematics, 955 0075-8434 ; . - Lecture Notes in Mathematics, 955 .
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.
9783540394372
10.1007/BFb0068863 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515
Bundles of Topological Vector Spaces and Their Duality [electronic resource] / by Gerhard Gierz. - VI, 298 p. online resource. - Lecture Notes in Mathematics, 955 0075-8434 ; . - Lecture Notes in Mathematics, 955 .
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.
9783540394372
10.1007/BFb0068863 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515