Paper's Title:

On operators for which T²≥-T^*2

Author(s):

Messaoud Guesba¹ and Mostefa Nadir²

¹Department of Mathematics,
University of El Oued 39000,
Algeria
E-mail: guesbamessaoud2@gmail.com

 
²Department of Mathematics,
University of Msila 28000,
Algeria
E-mail: mostefanadir@yahoo.fr

Abstract:

In this paper we introduce the new class of operators for which T²≥ -T^*2 acting on a complex Hilbert space H. We give some basic properties of these operators. we study the relation between the class and some other well known classes of operators acting on H.

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