PROJECTIVE SPECTRUM IN BANACH ALGEBRAS

DOI10.1142/S1793525309000126zbMath1197.47015arXiv0804.0387MaRDI QIDQ3649495

Rongwei Yang

Publication date: 4 December 2009

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0387

zbMATH Keywords

Banach algebrade Rham cohomologydomain of holomorphymaximal ideal spaceMaurer-Cartan formprojective spectruminvariant multilinear functionalprojective resolvent setunion of hyperplanes

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

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Cites Work

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• Spectral properties of noncommuting operators
• On the periods of certain rational integrals. I, II
• A joint spectrum for several commuting operators
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
• Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse

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