On the role of the comparison function in the spectral theory of selfadjoint operators

zbMath1236.47003MaRDI QIDQ627333

Michael Demuth, Marcel Hansmann

Publication date: 1 March 2011

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1298670004

zbMATH Keywords

spectral theoryoperator semigroupscomparison function

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10)

Related Items (1)

Bounds on the first Betti number: an approach via Schatten norm estimates on semigroup differences

Cites Work

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• An eigenvalue estimate and its application to non-selfadjoint Jacobi and Schrödinger operators
• Eigenvalue inequalities in terms of Schatten norm bounds on differences of semigroups, and application to Schrödinger operators
• Variation of discrete spectra
• Trace norm estimates for products of integral operators and diffusion semigroups
• Determining spectra in quantum theory.
• Abstract Interpolation and Operator-Valued Kernels
• Linear Operations on Summable Functions

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