Journal of Operator Theory

Volume 39, Issue 1, Winter 1998 pp. 99-112.

Orthogonal decompositions of isometries in Hilbert $C^*$-modules

Authors: Dan Popovici
Author institution: West University of Timisoara, Department of Mathematics, Bd. V. Parvan no. 4, 1900 Timisoara, Romania

Summary: We give a necessary and sufficient condition on a Hilbert $C^*$-module isometry in order to obtain a Wold-type decomposition. A characterization of shift operators is obtained as a consequence.

Keywords: Hilbert $C^*$-module, adjointable isometry, shift, Wold decomposition

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