Regular abelian Banach algebras of linear maps of operator algebras

DOI10.1016/0022-1236(80)90048-8zbMath0458.46044OpenAlexW2063314199MaRDI QIDQ1151567

Erling Størmer

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90048-8

zbMATH Keywords

positive mapsgeneralized Bochner theoremregular abelian Banach algebras

Mathematics Subject Classification ID

States of selfadjoint operator algebras (46L30) General theory of topological algebras with involution (46K05)

Related Items (16)

Markov dilations on \(W^ *\)-algebras ⋮ Herz-Schur multipliers of dynamical systems ⋮ The maximal C*-norm and the Haagerup norm ⋮ Harmonic operators: the dual perspective ⋮ Realization of quantum group Poisson boundaries as crossed products ⋮ Representations of Banach algebras subordinate to topologically introverted spaces ⋮ Spectral representations for Abelian automorphism groups of von Neumann algebras ⋮ Completely bounded bimodule maps and spectral synthesis ⋮ Fourier Spaces and Completely Isometric Representations of Arens Product Algebras ⋮ Completely isometric representations of $M_{cb}A(G)$ and $UCB(\hat G)^*$ ⋮ Ideals of \(A(G)\) and bimodules over maximal abelian selfadjoint algebras ⋮ A note on extreme positive definite matrices ⋮ Uniformly complete quotient space $UCQ(G)$ and completely isometric representations of $UCQ(G)^*$ on $\mathcal {B}(L_2(G))$ ⋮ Bimodules over $\mathop {\rm VN}\nolimits (G)$, harmonic operators and the non-commutative Poisson boundary ⋮ Isometric representation of M(G) on B(H) ⋮ On some convex sets and their extreme points

Cites Work

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• The Trace in Finite Operator Algebras
• Stone's Theorem and Spectral Subspaces of Automorphisms
• Une classification des facteurs de type ${\rm III}$
• Positive Functions on C ∗ -Algebras
• Tensor products of commutative Banach algebras

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