Journal of Operator Theory

Volume 70, Issue 1, Summer 2013 pp. 175-180.

On the uniqueness of the polar decomposition of bounded operators in Hilbert spaces

Authors: Wataru Ichinose (1) and Kanako Iwashita (2)
Author institution: (1) Department of Mathematical Sciences, Shinshu University, Matsumoto 390-8621, Japan
(2) Department of Mathematical Sciences, Shinshu University, Matsumoto 390-8621, Japan

Summary: It is well known as a fundamental result in the theory of the classical groups that the polar decomposition of a regular matrix exists and is uniquely determined. In this paper a generalization of the result above is given for a bounded operator in Hilbert spaces, in particular on the uniqueness of the polar decomposition.

DOI: http://dx.doi.org/10.7900/jot.2011may16.1911
Keywords: polar decomposition, uniqueness, bounded linear operator, Hilbert space

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