On the almost unperturbed Schrödinger pair of operators

DOI10.1007/BF01195116zbMath0678.47032MaRDI QIDQ1124098

Daoxing Xiao

Publication date: 1989

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

trace formulasymbolsHeisenberg commutation relationtrace class operatoralmost unperturbed Schrödinger pairclassical Schrödinger pairperturbations of n-parameter groups of unitary operatorsprincipal distributionsingular integro- differential model

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (2)

Generalized cyclic cohomology associated with deformed commutators ⋮ On the rank one perturbations of the Heisenberg commutation relation and unbounded subnormal operators

Cites Work

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• Spectral theory of hyponormal operators
• Perturbation of the continuous spectrum and unitary equivalence
• Trace formula for almost Lie group of operators and cyclic one-cocycles
• Almost commuting pairs of unitary operators and flat currents
• Commutators, symbols, and determining functions
• Mosaics, principal functions, and mean motion in von Neumann algebras
• Die Eindeutigkeit der Schrödingerschen Operatoren
• Commutators and systems of singular integral equations. I
• Perturbations of Self-Adjoint Transformation
• Seminormal operators

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