On a weighted Toeplitz operator and its commutant

Vasile Lauric

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-13

Abstract:

We study the structure of a class of weighted Toeplitz operators and obtain a description of the commutant of each operator in this class. We make some progress towards proving that the only operator in the commutant which is not a scalar multiple of the identity operator and which commutes with a nonzero compact operator is zero. The proof of the main statement relies on a conjecture which is left as an open problem.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:109089

DOI: 10.1155/IJMMS.2005.823

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