ESSENTIALLY λ-RATIONALIZED TOEPLITZ HANKEL OPERATORS
Ramjas College, University of Delhi, Delhi - 110007, India.
(Received: April 10; 2022; In format : April 23, 2022; July 03, 2022)
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.
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