A short note on the similarity of operator-valued multishifts
DOI10.1007/s00013-024-02026-5MaRDI QIDQ6614081
Surjit Kumar, Shailesh Trivedi, Soumitra Ghara
Publication date: 7 October 2024
Published in: Archiv der Mathematik (Search for Journal in Brave)
similarityunitary equivalencevector-valued reproducing kernel Hilbert spacesoperator-valued multishift
Spaces of vector- and operator-valued functions (46E40) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Cites Work
- Spherically balanced Hilbert spaces of formal power series in several variables. II
- Unitary equivalence of operator-valued multishifts
- An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
- Generalized Bergman Kernels and the Cowen-Douglas Theory
- Spherical tuples of Hilbert space operators
- Von Neumann’s inequality for commuting operator-valued multishifts
- Unitary equivalence and reductibility or invertibly weighted shifts
- Commuting tuple of multiplication operators homogeneous under the unitary group
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