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Isometrically equivalent composition operators on spaces of analytic vector-valued functions
Published online by Cambridge University Press: 01 October 1999
Abstract
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.
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- Research Article
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- 1999 Glasgow Mathematical Journal Trust
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