ESSENTIALLY RATIONALIZED TOEPLITZ HANKEL OPERATORS

BATRA · Poincare Journal of Analysis and Applications · 2022

In this paper, the notion of Essentially Rationalized Toeplitz Hankel Operators on the space L 2 is introduced and some properties about the set of all such kind of operators are discussed, Conditions under which the product of two such operators commute are also discussed.We also discuss essential spectrum of such operators.We define the set ERTHO (L 2 ) as the set of all Essentially Rationalized Toeplitz Hankel operators.Precisely, we attempt to investigate the properties of ERTHO (L 2 ).

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