Hostname: page-component-5cf477f64f-mgq6s Total loading time: 0 Render date: 2025-04-03T06:24:52.443Z Has data issue: false hasContentIssue false
  • English
  • Français

Isometrically equivalent composition operators on spaces of analytic vector-valued functions

Published online by Cambridge University Press:  01 October 1999

William E. Hornor  and
James E. Jamison
William E. Hornor
Affiliation:
Department of Mathematics, University of Southern Mississippi, Hattiesburg, Mississippi 39406, USA
James E. Jamison
Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let $X$ be a Banach space and let $B(X)$ denote the space of bounded operators on $X$. Two elements $S,T\inB(X)$ are isometrically equivalent if there exists an invertible isometry $V$ such that $TV=VS$. If $X$ is a Hilbert space, then $V$ is a unitary operator and $S$ and $T$ are said to be unitarily equivalent.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 3 , October 1999 , pp. 441 - 451
Copyright
1999 Glasgow Mathematical Journal Trust