Isometries of non-self-adjoint operator algebras

Jonathan Arazy, Baruch Solel

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)284-305
Number of pages22
JournalJournal of Functional Analysis
Issue number2
StatePublished - May 1990

ASJC Scopus subject areas

  • Analysis


Dive into the research topics of 'Isometries of non-self-adjoint operator algebras'. Together they form a unique fingerprint.

Cite this