Module bundles and module amenability

DOI10.12697/ACUTM.2021.25.08zbMath1485.46051OpenAlexW3192375582MaRDI QIDQ3385455

Terje Hõim, David A. Robbins

Publication date: 18 December 2021

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2021.25.08

zbMATH Keywords

Banach modulesirreducibilityapproximate diagonalmodule amenabilitybundles of Banach algebrasBanach bimodulesbundles of Banach modules

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Topology of vector bundles and fiber bundles (57R22)

Cites Work

• Module approximate amenability of Banach algebras
• Closed ideals in algebras of sections
• Module amenability for semigroup algebras
• (Super) module amenability, module topological centre and semigroup algebras
• Linear algebra in the category of C(X)-locally convex modules
• Approximate identities and factorization in Banach modules
• Tensor products of Banach bundles
• M-structure and the Banach-Stone theorem
• Sectional representations of Banach modules
• Bundles of topological vector spaces and their duality
• Representation of spaces of compact operators and applications to the approximation property
• Some extremal properties of section spaces of Banach bundles and their duals
• Module character amenability of Banach algebras
• Induced Banach representations of Banach algebras and locally compact groups
• Spectral synthesis and other results in some topological algebras of vector-valued functions
• Amenability as a hereditary property in some algebras of vector-valued functions
• THE DAUNS–HOFMANN THEOREM REVISITED
• Some Extremal Properties of Section Spaces of Banach Bundles and Their Duals, II
• Extreme Functionals on an Upper Semicontinuous Function Space
• Isomorphisms into section spaces of Banach bundles
• Cohomology in Banach algebras
• The Structure of Certain Operator Algebras
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