SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS

DOI10.1017/S1446788718000058OpenAlexW2806875457MaRDI QIDQ4645824

Michael I. Gil'

Publication date: 11 January 2019

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

Full work available at URL: https://doi.org/10.1017/s1446788718000058

zbMATH Keywords

resolventspectrum perturbationsoperator functionsmatrix differential operatorstensor products of operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Tensor products of linear operators (47A80)

Cites Work

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• On condition numbers of spectral operators in a Hilbert space
• Operators similar to unitary of selfadjoint ones
• Preconditioning second-order elliptic operators: Condition numbers and the distribution of the singular values
• Similarity of a triangular operator to a diagonal operator
• Operator functions and localization of spectra
• On the similarity of some differential operators to self-adjoint ones
• Analytic equivalence and similarity of operators.
• The similarity problem for \(J\)-nonnegative Sturm-Liouville operators
• Condition number estimates for combined potential boundary integral operators in acoustic scattering
• The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality
• Resolvents of operators on tensor products of Euclidean spaces
• The similarity problem for indefinite Sturm-Liouville operators with periodic coefficients
• A BOUND FOR SIMILARITY CONDITION NUMBERS OF UNBOUNDED OPERATORS WITH HILBERT–SCHMIDT HERMITIAN COMPONENTS
• Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
• Extended tensor products and an operator-valued spectral mapping theorem
• The generalized condition numbers of bounded linear operators in Banach spaces
• Finite Sections of Band-dominated Operators – Norms, Condition Numbers and Pseudospectra
• An inequality for similarity condition numbers of unbounded operators with Schatten - von Neumann Hermitian components
• Kronecker’s Products and Kronecker’s Sums of Operators
• A bound for condition numbers of matrices

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