ON THE CLASS OF n-REAL POWER POSITIVE OPERATORS ON A HILBERT SPACE

benali abdelkader

Abstract


In this paper, we introduce a new class of operators acting on a complex Hilbert
space H which is called n-real power positive operators, denoted by [nRP]. An
operator T 2 B(H) is called n-real power positive operator if Tn + Tn 0 or
equivalently Re hTnx j xi 0 for all x 2 H, where n is positive integer number
greater than 1:


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