On the Taylor spectrum of left-right multipliers

DOI10.1090/S0002-9939-98-04116-1zbMath0892.47003OpenAlexW1602972335MaRDI QIDQ4383008

Robin E. Harte, C. Hernandez-Garciadiego

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04116-1

zbMATH Keywords

prime algebrasmultiplication operatorsTaylor spectrumultraprime Banach algebraultraprime algebrasmixed pair of multiplication operators

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Spectrum, resolvent (47A10) Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) Equations involving linear operators, with operator unknowns (47A62) Chain complexes (category-theoretic aspects), dg categories (18G35) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (4)

On Weighted Reverse Order Laws for the Moore–Penrose Inverse andK-Inverses ⋮ WEYL'S THEOREM, TENSOR PRODUCTS AND MULTIPLICATION OPERATORS II ⋮ On generalized criss-cross and near-commutativity forn-tuples ⋮ Block diagonalization in Banach algebras

Cites Work

• The spectral picture of \((L_ A,R_ B)\)
• Elementary operators on prime \(C^*\)-algebras. I
• A joint spectrum for several commuting operators
• Almost Exactness in Normed Spaces
• Taylor Exactness and Kato's Jump
• A joint spectral characterization of primeness for C$^*$-algebras
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