Description of invariant subspaces in terms of Berezin symbols

DOI10.3906/mat-1801-6zbMath1424.47053OpenAlexW2949204294WikidataQ127713952 ScholiaQ127713952MaRDI QIDQ4633383

Suna Saltan

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://dergipark.org.tr/tr/pub/tbtkmath/issue/45652/575203

zbMATH Keywords

invariant subspacesBerezin symbolmultiple shift operatorstretching operator

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

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Cites Work

• Reproducing kernels and Berezin symbols techniques in various questions of operator theory
• Theory of reproducing kernels and applications
• Taylor coefficients of functions in Fock spaces
• Berezin symbol and invertibility of operators on the functional Hilbert spaces
• On two problems concerning linear transformations in Hilbert space
• The Berezin Number, Norm of a Hankel Operator and Related Topics
• QUANTIZATION
• On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
• Some results related with Berezin symbols and Toeplitz operators
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
• Theory of Reproducing Kernels
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