ESSENTIALLY λ-RATIONALIZED TOEPLITZ HANKEL OPERATORS


By

Ruchika Batra

Ramjas College, University of Delhi, Delhi - 110007, India.

Email: ruchikaverma@ramjas.du.ac.in

(Received: April 10; 2022; In format : April 23, 2022; July 03, 2022)


DOI: https://doi.org/10.58250/jnanabha.2022.52202



Abstract

We introduce the notion of Essentially λ-Rationalized Toeplitz Hankel operator on the space L2 for a general

complex number λ. Precisely, we define such operators via operator equation λk2 MzK2 X − XMzK1 = K1, where k1 and k2 are non zero integers and K1 is a compact operator on L2. We investigate some properties of the set λ-ERTHO(L2), the set of all Essentially λ-Rationalized Toeplitz Hankel operators of order (k1, k2).


2020 Mathematical Sciences Classification: 47B35,47B38

Keywords and Phrases: Essentially Rationalized Toeplitz Hankel operators, Toeplitz, Hankel operators.

[Download PDF File]