Slant Toeplitz Operators on the Lebesgue Space of the Torus

Document Type : Original Article

Authors

Gopal Datt ¹

Neelima Ohri ²

¹ Department of Mathematics, PGDAV College, University of Delhi, Delhi-110065 (INDIA).

² Department of Mathematics, University of Delhi, Delhi - 110007 (INDIA).

10.22034/kjm.2019.86133

Abstract

This paper introduces the class of slant Toeplitz operators on the Lebesgue space of the torus. A characterization of these operators as the solutions of an operator equation is obtained. The paper describes various algebraic properties of these operators. The compactness, commutativity and essential commutativity of these operators are also discussed.

Keywords

Toeplitz operator

slant Toeplitz operator

bidisk

torus

Subjects

• 47 Operator theory

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