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ON THE CLASS OF n-POWER QUASI-NORMAL OPERATORS ON HILBERT SPACE
Journal article

ON THE CLASS OF n-POWER QUASI-NORMAL OPERATORS ON HILBERT SPACE

Ould Ahmed Mahmoud Sid Ahmed
Bulletin of Mathematical Analysis and Applications, Vol.3(2), pp.213-228
01/01/2011

Abstract

Mathematics Physical Sciences Science & Technology
Let T be a bounded linear operator on a complex Hilbert space H. In this paper we investigate some, properties of the class of n-power quasi normal operators, denoted [nQN], satisfying T-n vertical bar T vertical bar(2) - vertical bar T vertical bar T-2(n) = 0 and some relations between n-normal operators and n-quasinormal operators.

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