Essentially Normal Operator + Compact Operator = Strongly Irreducible Operator

DOI10.1090/S0002-9947-97-01754-6zbMath0870.47017MaRDI QIDQ5690972

Shun Hua Sun, Chun Lan Jiang, Zong Yao Wang

Publication date: 9 January 1997

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

zbMATH Keywords

Sobolev spacecompact operatorsubnormal operatorstrongly irreducible operatorCowen-Douglas operatoressentially normal operatorconnected spectrumRosenblum operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Perturbation theory of linear operators (47A55) Linear operator approximation theory (47A58)

Related Items (4)

Strongly irreducible operators on Banach spaces ⋮ Quasitriangular $+$ small compact $=$ strongly irreducible ⋮ Operators with connected spectrum + compact operators = strongly irreducible operators ⋮ Small compact perturbation of strongly irreducible operators.

Cites Work

• Limits of strongly irreducible operators, and the Riesz decomposition theorem
• Irreducible operators
• Complex geometry and operator theory
• Complex geometry and operator theory
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