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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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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.
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=‹βn›n∈ 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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