Elementary operators on prime \(C^*\)-algebras. I

DOI10.1007/BF01442873zbMath0648.46052OpenAlexW2012155395MaRDI QIDQ1105158

Martin Mathieu

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164550

zbMATH Keywords

joint spectrumextended centroidcompletely positive elementary operators on prime \(C^*\)-algebrasspectral theory of elementary operatorsultraweak densenessweakly compact elementary operators

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05)

Related Items (31)

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Cites Work

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• The correspondence associated to an inner completely positive map
• A note on norm ideals and the operator \(X\to AX-XB\)
• A note on the range of the operator \(X\to AX-XB\)
• Completely positive and Hermitian-preserving linear transformations
• Completely positive linear maps on complex matrices
• Subalgebras of \(C^ *\)-algebras
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Spectra of Constructs of a System of Operators
• A Note on Elementary Operators on the Calkin Algebra
• Spectral Properties of Elementary Operators. II
• On Weak ∗ Continuous Operators on B (K)
• Solving Linear Operator Equations
• A Note on the Operator X →AX - XB
• On the Operator Identity ∑ A_kXB_k ≡ 0
• Elementary operators on prime C*-algebras II
• Prime C-Algebras and Antilattices
• Prime Ideals in General Rings
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