Stable rank of Fourier algebras and an application to Korovkin theory.

DOI10.7146/math.scand.a-12340zbMath0719.46026OpenAlexW2531083154MaRDI QIDQ5751416

Michael Pannenberg

Publication date: 1990

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167141

zbMATH Keywords

covering dimensionsymmetric involutionKorovkin approximation theoryBass stable rank of a commutative unital Banach algebraDowker's local covering dimensionEymard's Fourier algebra of a locally compact groupparacompact spectrumreal rank of an involutive Banach algebraRieffel's topological stable rank of the Fourier algebra of any locally compact group

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Approximation by positive operators (41A36) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Structure of group algebras of LCA groups (22B10)

Related Items (6)

Two notions of stable rank for Banach lattices containing quasi-interior positive elements ⋮ On universal Korovkin sets w. r. t positive spectral contractions ⋮ The Gleason-Kahane-Zelazko property and Korovkin systems in symmetric involutive Banach algebras ⋮ Approximate regularity of commutative Beurling algebras and Korovkin approximation ⋮ Homotopical stable ranks for Banach algebras ⋮ The stable rank of topological algebras and a problem of R. G. Swan

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