ON A CLASS OF SLANT WEIGHTED TOEPLITZ OPERATORS
By
Ritu Kathuria
Department of Mathematics Motilal Nehru College, University of Delhi, Benito Juarez Marg
New Delhi, India-110021
Email: ritu.kathuria@mln.du.ac.in
(Received: March 5, 2023; In format: March 29, 2023; Revised: September 29, 2023, Accepted: October 01, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53213
Abstract
If β = ⟨βn⟩n ∈ Z is a sequence of positive numbers with β0 = 1, then a slant weighted Toeplitz operator AΦ is an operator on L2(β) defined as AΦ = WMΦ where MΦ is the multiplication operator on L2(β) given by MΦek(z) = 1/βk ∞∑ n=-∞ anβn+ken+k(z) In this paper we investigate the closure of the set of these
operators. We also discuss the C*-algebra generated by a particular class of slant weighted Toeplitz operators and obtain the spectral radius for this class.
2020 Mathematical Sciences Classification: 47B37; 47B35.
Keywords and Phrases: Toeplitz operator; weighted sequence space; weighted Toeplitz operator; C* -algebra