Tridiagonal shifts as compact \(+\) isometry

DOI10.1007/s00013-022-01780-8OpenAlexW3211489833MaRDI QIDQ2085562

Susmita Das, Jaydeb Sarkar

Publication date: 18 October 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04180

zbMATH Keywords

perturbationscompact operatorsshiftsisometriestridiagonal kernels

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Perturbation theory of linear operators (47A55) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hardy spaces (30H10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytic reproducing kernels and multiplication operators
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Reverse Cholesky factorization and tensor products of nest algebras
• ANALYTIC TRIDIAGONAL REPRODUCING KERNELS
• Compact Toeplitz operators on Bergman spaces
• Compact operators via the Berezin transform
• Approximation and then-Berezin transform of operators on the Bergman space