\(n\)-tuples of operators satisfying \(\sigma_T(AB)=\sigma_T(BA)\).

DOI10.1016/S0024-3795(01)00407-4zbMath1050.47007MaRDI QIDQ5957200

Raúl E. Curto, Muneo Chō, Tadasi Huruya

Publication date: 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

joint spectraapproximate point spectrumcriss-cross commuting operator tuplesTaylor spectrum

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Spectrum, resolvent (47A10)

Related Items (7)

On Taylor and other joint spectra for commuting \(n\)-tuples of operators ⋮ Certain properties involving the unbounded operators \(p(T)\), \(TT^\ast\), and \(T^\ast T\); and some applications to powers and \textit{nth} roots of unbounded operators ⋮ Commuting tuples of normal operators in Hilbert spaces ⋮ Stability for the ``essentially Kato property for commuting tuples of bounded operators ⋮ Parallelism between Moore-Penrose inverse and Aluthge transformation of operators ⋮ On \((m, C)\)-isometric commuting tuples of operators on a Hilbert space ⋮ Spectral properties of commuting operations for 𝑛-tuples

Cites Work

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• Multi-dimensional spectral theory of bounded linear operators in locally convex spaces
• On the commuting properties of Taylor's spectrum
• A joint spectrum for several commuting operators
• Joint spectra of commuting normal operators on Banach spaces
• Comparison of joint spectra for certain classes of commuting operators
• On joint spectra of commuting families of operators
• On pairs of commuting operators
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• Taylor spectral invariance for crisscross commuting pairs on Banach spaces

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