Sufficiently high powers of hyponormal operators have rationally invariant subspaces

DOI10.1007/BF01682847zbMath0416.47010MaRDI QIDQ754457

Charles A. Berger

Publication date: 1978

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

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items

Remarks on nearly equivalent operators, Principal functions for high powers of operators, Principal functions, index theory, geometric measure theory and function algebras, Intertwined operators and the Pincus principal function, On operators with similar positive parts, The invariant subspace problem, Invariant subspaces of operator algebras, Local Spectra of Seminormal Operators, An integrality theorem for subnormal operators, Aluthge transforms of operators, A trace estimate for p-hyponormal operators, A characterization of \(P^ 2(\mu)\neq L^ 2(\mu)\)

Cites Work

• An Invariant for Certain Operator Algebras
• Selfcommutators of multicyclic hyponormal operators are always trace class
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