


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 H^{2}(β) is defined as T_{φ}f=P(φf) where P is the projection from L^{2}(β) onto H^{2}(β) and the symbol φ ∈ L^{2}(β) for a given sequence β=‹β_{n}›_{n∈ Z} of positive numbers. In this paper, a matrix characterization of a weighted multiplication operator on L^{2}β 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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