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Zbl 1219.47046
Arora, Subhash Chander; Kathuria, Ritu
Properties of the slant weighted Toeplitz operator. (English)
[J] Ann. Funct. Anal. AFA 2, No. 1, 19-30, electronic only (2011). ISSN 2008-8752/e

Summary: If $\beta = \langle\beta\rangle_{n\in \bbfZ}$ is a sequence of positive numbers, then a slant weighted Toeplitz operator $A_\varphi$ is an operator on $L^2(\beta)$ defined as $A_\varphi = W M_\varphi$, where $M_\varphi $ is the multiplication operator on $L^2(\beta )$. When the sequence $\beta \equiv 1$, this operator reduces to the ordinary slant Toeplitz operator given by {\it M. C. Ho} [Indiana Univ. Math. J. 45, No.~3, 843--862 (1996; Zbl 0880.47016)]. In this paper, we study some algebraic properties of a slant weighted Toeplitz operator. We also obtain its matrix characterization and discuss the adjoint of this operator.

MSC 2000:: *47B37 Operators on sequence spaces, etc.
47B35 Toeplitz operators, etc.

Keywords: weighted Toeplitz operator; slant weighted Toeplitz operator; weighted shift; weighted multiplication operator

Citations: Zbl 0880.47016

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