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Universal Journal of Mathematics and Mathematical Sciences

Universal Journal of Mathematics and Mathematical Sciences
Volume 13, Issue 2, Pages 85 - 96 (December 2020)
http://dx.doi.org/10.17654/UM013020085

ON P-HYPONORMAL COMPOSITION OPERATORS

Yahia Mohammed Sharief

Abstract:

In this paper, we introduce P-hyponormal composition operators on L²-spaces and study some of their properties. We show that Fuglede-Putnam’s (briefly FP) theorem holds for P-hyponormal and P‑hyponormal composition operators.

Keywords and phrases:

L²-spaces, composition operators, P-hyponormal operators.

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