Bundles of topological vector spaces and their duality

Author(s)

• Gierz, Gerhard

Bibliographic Information

Bundles of topological vector spaces and their duality

Gerhard Gierz

（Lecture notes in mathematics, 955）

Springer-Verlag, 1982

• : Berlin
• : New York

Note

Bibliography: p. [284]-290

Includes index

Description and Table of Contents

Table of Contents

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.

by "Nielsen BookData"

Details

• NCID: BA00668854
• ISBN:
  • 3540116109
  • 0387116109
• LCCN: 82019179
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: iv, 296 p.
• Size: 25 cm
• Classification:
  • LCC : QA3
  • LCC : QA322
  • DC19 : 510 s
  • DC19 : 515.7/3
  • NDC8 : 415.2
• Subject Headings:
  • LCSH : Linear topological spaces
  • LCSH : Vector bundles
  • LCSH : Duality theory (Mathematics)
  • NDLSH : 線型位相空間
• Parent Bibliography ID:
  • BA00146586