A criterion for the similarity of a closed operator to a self-adjoint operator

DOI10.1007/BF01056850zbMath0591.47002MaRDI QIDQ1074829

Mark M. Malamud

Publication date: 1985

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

resolventsimilarityclosed linear operatormaximal dissipating operators with real spectrum

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (8)

Trace formulas for additive and non-additive perturbations ⋮ The similarity problem for \(J\)-nonnegative Sturm-Liouville operators ⋮ On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators ⋮ Resolvent criteria for similarity to a normal operator with spectrum on a curve ⋮ Conditions on the generator of a uniformly bounded \(C_0\)-semigroup ⋮ Non-self-adjoint graphs ⋮ Hidden symmetries in non-self-adjoint graphs ⋮ On the similarity to self-adjoint operators

Cites Work

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• Operator calculus for some classes of non-self-adjoint operators
• Operators similar to unitary of selfadjoint ones
• Wave operators and similarity for some non-selfadjoint operators
• Description of contraction operators which are similar to unitary operators
• Eigenvalues and partitionings of the edges of a graph
• BOUNDARY VALUES OF SOLUTIONS OF SOME CLASSES OF DIFFERENTIAL EQUATIONS

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