Bundles of Topological Vector Spaces and Their Duality Lecture Notes in Mathematics

Introduction....Pages 1-6 Notational remarks....Pages 7-7 Basic definitions....Pages 8-21 Full bundles and bundles with completely regular base space....Pages 22-27 Bundles with locally paracompact base spaces....Pages 28-38 Stone — Weierstraß theorems for bundles....Pages 39-43 An alternative description of spaces of sections: Function modules....Pages 44-59 Some algebraic aspects of Ω-spaces....Pages 60-61 A third description of spaces of sections: C(X)-convex modules....Pages 62-79 C(X)-submodules of Γ(p)....Pages 80-85 Quotients of bundles and C(X)-modules....Pages 86-94 Morphisms between bundles....Pages 95-111 Bundles of operators....Pages 112-135 Excursion: Continuous lattices and bundles....Pages 136-143 M-structure and bundles....Pages 144-153 An adequate M-theory for Ω-spaces....Pages 154-158 Duality....Pages 159-182 The closure of the "unit ball" of a bundle and separation axioms....Pages 183-199 Locally trivial bundles: A definition....Pages 200-201 Local linear independence....Pages 202-208 The space Mod(γ(p),C(X))....Pages 209-231 Internal duality of C(X)-modules....Pages 232-251 The dual space γ(p)' of a space of sections....Pages 252-260