Factoring a Quadratic Operator as a Product of Two Positive Contractions
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Published:2016-06-01
Issue:2
Volume:59
Page:354-362
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Li Chi-Kwong,Tsai Ming-Cheng
Abstract
AbstractLet T be a quadratic operator on a complex Hilbert space H. We show that T can be written as a product of two positive contractions if and only if T is of the formfor some a, b ∊ [0, 1] and strictly positive operator P with . Also, we give a necessary condition for a bounded linear operator T with operator matrix on H⊕K that can be written as a product of two positive contractions.
Publisher
Canadian Mathematical Society
Subject
General Mathematics
Cited by
1 articles.
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1. Product of two positive contractions;Linear Algebra and its Applications;2016-07