The Australian Journal of Mathematical Analysis and Applications


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ISSN 1449-5910  

 

Paper Information

Paper Title:

On Weighted Toeplitz Operators

Author(s):

S. C. Arora and Ritu Kathuria

Department of Mathematics,
University of Delhi,
Delhi 110007,
India.

Department of Mathematics,
Motilal Nehru College, University of Delhi,
Delhi 110021,
India.

ritu.kathuria@yahoo.co.in  


 

Abstract:

A weighted Toeplitz operator on H2(β) is defined as Tφf=P(φf) where P is the projection from L2(β) onto H2(β) and the symbol φ ∈ L2(β) for a given sequence β=βnn∈ Z of positive numbers. In this paper, a matrix characterization of a weighted multiplication operator on L2β is given and it is used to deduce the same for a weighted Toeplitz operator. The eigenvalues of some weighted Toeplitz operators are also determined.

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