An order characterization of commutativity for 𝐶*-algebras

DOI10.1090/S0002-9939-00-05724-5zbMath0968.46040MaRDI QIDQ2701613

Wei Wu

Publication date: 19 February 2001

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

zbMATH Keywords

exponential functionpositive elementcommutativity for \(C^{\ast}\)-algebrasOgasawara's order characterization theoremoperator-monotone increasingoperator-monotonic increasing function

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 ⋮ On commuting exponentials in low dimensions ⋮ 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 ⋮ Commuting pairs of self-adjoint elements in C ^*-algebras ⋮ A CHARACTERISATION OF CENTRAL ELEMENTS IN -ALGEBRAS ⋮ A few conditions for a \(C^*\)-algebra to be commutative ⋮ MONOTONE OPERATOR FUNCTIONS ON C*-ALGEBRAS ⋮ On the commutativity of \(C^*\)-algebras ⋮ Commutativity conditions for rings: 1950-2005. ⋮ On the nonexistence of order isomorphisms between the sets of all self-adjoint and all positive definite operators

Cites Work

• On factor states
• Jensen's inequality for operators and Loewner's theorem
• On order and commutativity of \(B^*\)-algebras
• Characterizations of commutativity forC*-algebras
• 10.—Norm Inequalities for C*-algebras
• Order in Operator Algebras
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