Representation of spaces of compact operators and applications to the approximation property

DOI10.1007/BF01226110zbMath0391.46059OpenAlexW2088687471MaRDI QIDQ1251371

Gerhard Gierz

Publication date: 1978

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01226110

zbMATH Keywords

Approximation PropertyBundle of Banach SpacesCross SectionsInjective Banach LatticeRepresentation of Spaces of Compact OperatorsStalksWeighted Space of Vector-Valued Continuous Functions

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Tensor products in functional analysis (46M05)

Related Items (4)

Unitary equivalence of representations of graph algebras and branching systems ⋮ Normed lattices ⋮ Unnamed Item ⋮ Module bundles and module amenability

Cites Work

• Unnamed Item
• Weighted approximation, vector fibrations and algebras of operators
• Extensions of positive operators between Banach lattices
• Extreme Functionals on an Upper Semicontinuous Function Space
• Representation of rings by sections
• Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. I.
• Produits tensoriels topologiques et espaces nucléaires

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