COMMUTANT LIFTING IN THE SCHUR–AGLER CLASS

Sibaprasad Barik; Monojit Bhattacharjee; B. Krishna Das

doi:10.7900/jot.2022apr27.2372

COMMUTANT LIFTING IN THE SCHUR–AGLER CLASS

Sibaprasad Barik, Monojit Bhattacharjee, B. Krishna Das

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this article we study commutant lifting theorems, more generally intertwining lifting theorems, for weighted Bergman spaces over the unit ball in Cⁿ. In the particular case of the Hardy space over the unit disc and the Drury–Arveson space over the unit ball, our commutant lifting theorem provides an alternative proof of the classical commutant lifting theorems of Sarason and Ball, Trent and Vinnikov.

Original language	English
Pages (from-to)	399-419
Number of pages	21
Journal	Journal of Operator Theory
Volume	91
Issue number	2
DOIs	https://doi.org/10.7900/jot.2022apr27.2372
State	Published - 1 Jan 2024

Keywords

Commutant lifting
Drury–Arveson space
Schur–Agler functions
hypercontractions
intertwining lifting
weighted Bergman spaces

ASJC Scopus subject areas

Algebra and Number Theory

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10.7900/jot.2022apr27.2372

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N2 - In this article we study commutant lifting theorems, more generally intertwining lifting theorems, for weighted Bergman spaces over the unit ball in Cn. In the particular case of the Hardy space over the unit disc and the Drury–Arveson space over the unit ball, our commutant lifting theorem provides an alternative proof of the classical commutant lifting theorems of Sarason and Ball, Trent and Vinnikov.

AB - In this article we study commutant lifting theorems, more generally intertwining lifting theorems, for weighted Bergman spaces over the unit ball in Cn. In the particular case of the Hardy space over the unit disc and the Drury–Arveson space over the unit ball, our commutant lifting theorem provides an alternative proof of the classical commutant lifting theorems of Sarason and Ball, Trent and Vinnikov.

KW - Commutant lifting

KW - Drury–Arveson space

KW - Schur–Agler functions

KW - hypercontractions

KW - intertwining lifting

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ER -

COMMUTANT LIFTING IN THE SCHUR–AGLER CLASS

Abstract

Keywords

ASJC Scopus subject areas

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