Unitary parts of Toeplitz operators with operator-valued symbols

Motivated by the canonical decomposition of contractions on Hilbert spaces, we investigate when contractive Toeplitz operators on vector-valued Hardy spaces on the unit disc admit a non-zero reducing subspace on which their restriction is unitary. We

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Publication Details

Journal
Studia Mathematica
Published
2025-01-01
DOI
https://doi.org/10.4064/sm240327-14-1
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Unitary parts of Toeplitz operators with operator-valued symbols

Srijan Sarkar, E. K. Narayanan
Studia Mathematica
Holomorphic and Operator Theory
article

Unitary parts of Toeplitz operators with operator-valued symbols

Srijan Sarkar, E. K. Narayanan
article en

Abstract

Motivated by the canonical decomposition of contractions on Hilbert spaces, we investigate when contractive Toeplitz operators on vector-valued Hardy spaces on the unit disc admit a non-zero reducing subspace on which their restriction is unitary. We

Studia MathematicaVol. 282(3)
Indian Institute of Technology Palakkad (IN), Indian Institute of Science Bangalore (IN)
Openalex Percentile: Top 84%
Holomorphic and Operator Theory
DOIOpen Access PDFOpenAlex
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Unitary parts of Toeplitz operators with operator-valued symbols — Srijan Sarkar, E. K. Narayanan · Studia Mathematica (2025) | TGRS Research Map | TGRS