On characterizations of commutativity of C*-algebras

DOI10.1090/S0002-9939-03-06991-0zbMath1040.46038OpenAlexW2154689991MaRDI QIDQ4425424

Jun Tomiyama, Guo Xing Ji

Publication date: 10 September 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-06991-0

zbMATH Keywords

\(C^*\)-algebracommutativity

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (14)

Commuting pairs of normal operators ⋮ Connections between centrality and local monotonicity of certain functions on \(C^\ast\)-algebras ⋮ On a characterization of commutativity for {\(C^*\)}-algebras via gyrogroup operations ⋮ Characterization of the trace by monotonicity inequalities ⋮ Characterizations of centrality in \(C^*\)-algebras via local monotonicity and local additivity of functions ⋮ A Banach space theoretical characterization of abelian 𝐶*-algebras ⋮ Some new characterizations of central positive elements in \(C^\ast\)-algebras ⋮ To the theory of operator monotone and operator convex functions ⋮ Commuting pairs of self-adjoint elements in C ^*-algebras ⋮ A few conditions for a \(C^*\)-algebra to be commutative ⋮ Polynomial representations of \(C^\ast\)-algebras and their applications ⋮ MONOTONE OPERATOR FUNCTIONS ON C*-ALGEBRAS ⋮ Commutativity conditions for rings: 1950-2005. ⋮ Characterization of operator monotone functions by Powers–Størmer type inequalities

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