Isometries of non-self-adjoint operator algebras

Jonathan Arazy; Baruch Solel

doi:10.1016/0022-1236(90)90085-Y

Isometries of non-self-adjoint operator algebras

Jonathan Arazy
, Baruch Solel

Department of Mathematics

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

Abstract

We study isometries of certain non-self-adjoint operator algebras by means of the structure of the complete holomorphic vector fields on their unit balls and the associated partial Jordan triple products. We show that isometries of nest sub-algebras of B(H) are of the form T {mapping} UTW or T {mapping} UJT^*JW, where U, W are suitable unitary operators and J a fixed involution of H.

Original language	English
Pages (from-to)	284-305
Number of pages	22
Journal	Journal of Functional Analysis
Volume	90
Issue number	2
DOIs	https://doi.org/10.1016/0022-1236(90)90085-Y
State	Published - May 1990

ASJC Scopus subject areas

Analysis

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10.1016/0022-1236(90)90085-Y

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title = "Isometries of non-self-adjoint operator algebras",

abstract = "We study isometries of certain non-self-adjoint operator algebras by means of the structure of the complete holomorphic vector fields on their unit balls and the associated partial Jordan triple products. We show that isometries of nest sub-algebras of B(H) are of the form T \{mapping\} UTW or T \{mapping\} UJT*JW, where U, W are suitable unitary operators and J a fixed involution of H.",

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N2 - We study isometries of certain non-self-adjoint operator algebras by means of the structure of the complete holomorphic vector fields on their unit balls and the associated partial Jordan triple products. We show that isometries of nest sub-algebras of B(H) are of the form T {mapping} UTW or T {mapping} UJT*JW, where U, W are suitable unitary operators and J a fixed involution of H.

AB - We study isometries of certain non-self-adjoint operator algebras by means of the structure of the complete holomorphic vector fields on their unit balls and the associated partial Jordan triple products. We show that isometries of nest sub-algebras of B(H) are of the form T {mapping} UTW or T {mapping} UJT*JW, where U, W are suitable unitary operators and J a fixed involution of H.

UR - https://www.scopus.com/pages/publications/0001097245

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DO - 10.1016/0022-1236(90)90085-Y

M3 - Article

AN - SCOPUS:0001097245

SN - 0022-1236

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SP - 284

EP - 305

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

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Isometries of non-self-adjoint operator algebras

Abstract

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