AN INTERTWINING PROPERTY FOR POSITIVE TOEPLITZ OPERATORS

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https://www.theta.ro/jot/archive/2005-054-002/2005-054-002-005.pdf

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http://hdl.handle.net/11603/36901

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UMBC Mathematics and Statistics Department

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https://orcid.org/0000-0001-8594-0568

Date

2005

Type of Work

journal articles
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Citation of Original Publication

Biswas, A, C Foias, and A E Frazho. “AN INTERTWINING PROPERTY FOR POSITIVE TOEPLITZ OPERATORS,” Journal of Operator Theory 54, no. 2 (2005): 301-322. https://www.theta.ro/jot/archive/2005-054-002/2005-054-002-005.pdf.

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Abstract

We obtain a necessary and sufficient condition for the existence of an operator V satisfying the operator equation VTγ = TγS. Here Tγ is a positive Toeplitz operator and S is the canonical unilateral shift acting on the Hardy space H²(U).