Journal of Operator Theory
Volume 34, Issue 1, Summer 1995 pp. 125-144.
Spaces contractively invariant for the backward shiftAuthors: Michael Sand
Author institution: Department of Mathematics, University of California, Riverside CA 92521, U.S.A.
Summary: We classify those Hilbert spaces, contractively contained in a vector-valued H^2-space, that are carried into themselves contractively by the backward shift. We then show when a completely non-unitary operator is unitarily equivalent to the action of the backward shift on one of its contractively invariant spaces.
Contents Full-Text PDF