Square roots of semihyponormal operators have scalar extensions.

DOI10.1016/S0007-4497(03)00040-XzbMath1058.47019MaRDI QIDQ1408359

Eungil Ko

Publication date: 15 September 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceBishop's property \((\beta)\)subscalar operatorsemi-hyponormal operator

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on function spaces (general) (47B38) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (1)

Square roots of complex symmetric operators

Cites Work

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• Spectral theory of hyponormal operators
• Invariant subspaces for subscalar operators
• Lectures on hyponormal operators
• Powers of \(p\)-hyponormal operators
• Orbits of hyponormal operators
• Aluthge transforms of operators
• Quasi-similarity of tuples with Bishop's property \((\beta{})\)
• On roots of normal operators
• New Approaches in Spectral Decomposition
• On w-hyponormal operators
• Putnam's Inequality for p-Hyponormal Operators
• Algebraic and Triangular n-Hyponormal Operators

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