A trace formula for multiplication operators on invariant subspaces of the Bergman space

DOI10.1007/BF01301468zbMath0995.47017MaRDI QIDQ5943219

K. H. Zhu

Publication date: 4 August 2002

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

zbMATH Keywords

Bergman spacetracemultiplication operatorhyponormal operatorself-commutator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15)

Related Items (5)

Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ Trace formula of semicommutators ⋮ Composition operators and multiplication operators on weighted spaces of analytic functions ⋮ A trace formula on invariant subspaces of Hardy space induced by rotation-invariant Borel measure ⋮ The Hilbert-Schmidt norm of Hankel operators on poly-Bergman spaces

Cites Work

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• Lectures on hyponormal operators
• Maximal inner spaces and Hankel operators on the Bergman space
• Beurling's theorem for the Bergman space
• The Berger-Shaw theorem for cyclic subnormal operators
• Selfcommutators of multicyclic hyponormal operators are always trace class
• The Spectrum of Seminormal Operators

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