Multiparameter spectral theory and Taylor's joint spectrum in Hilbert space

DOI10.1017/S0013091500006635zbMath0647.47031OpenAlexW2094233397MaRDI QIDQ3791738

Bryan P. Rynne

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0013091500006635

zbMATH Keywords

joint spectrum of a set of commuting operatorsspectrum of general multiparameter operator system in the nonself-adjoint situationtensor product of the Hilbert spaces

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

Koszul cohomology for finite families of comodule maps and applications

Cites Work

• Solvability of a linear operator system
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space
• Homological methods in Taylor's holomorphic calculus of several operators in a Banach space
• The spectrum of multiparameter problems in Hilbert space
• Tensor Products and the Joint Spectrum in Hilbert Spaces
• Multiparameter problems and joint spectra

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