Subnormality, analyticity and perturbations

DOI10.1216/rmjm/1199649826zbMath1131.47011OpenAlexW2038228610MaRDI QIDQ2478058

Dariusz Cichoń, Jan Stochel

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1199649826

zbMATH Keywords

hyponormal operatorsubnormal operatoranalytic operator-valued functionjointly subnormal operator familyperturbation of a subnormal partial isometryperturbation of a unitary operator

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Subnormal operators, hyponormal operators, etc. (47B20) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Holomorphic maps in nonlinear functional analysis (46T25) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items

Conditional positive definiteness in operator theory ⋮ Normal extensions escape from the class of weighted shifts on directed trees ⋮ Subnormal operators whose adjoints have rich point spectrum

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The multidimensional moment problem
• Linear combinations of hyponormal operators
• Commuting subnormal operators
• Boundedness of the shift operator related to positive definite forms: An application to moment problems
• Linear combinations of isometries
• Subnormal operators
• Spectral Theory for Operators on a Banach Space
• Generalization of Weyl-von Neumann-Berg theorem for the case of normal operator-valued holomorphic functions
• Subnormal Composition Operators
• Subnormality and Weighted Shifts
• A Subnormal Semigroup without Normal Extension
• Positive definiteness and commutativity of operators
• Seminormality of operators from their tensor product
• Shorter Notes: A Note on Normal-Operator-Valued Analytic Functions
• A Commutativity Theorem for Normal Operators
• A moment problem for self-adjoint operators
• On a Class of Operators