Über Kommutatoren und Störungsmetriken und ihre Beziehung zum Funktionalkalkül. (Commutators and perturbation metrics and their relations to the functional calculus)

DOI10.1007/BF01304614zbMath0228.47015OpenAlexW2914952531MaRDI QIDQ2549850

Karl-Heinz Förster

Publication date: 1972

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154094

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38)

Cites Work

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• On the operator equation \(BX - XA = Q\)
• Some properties of the commutator of two operators
• Remarks on the perturbation and a topology for operators
• A characterisation and two examples of Riesz operators
• Operators with a Fredholm Theory

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