The Australian Journal of Mathematical Analysis and Applications

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Paper's Title:

Closedness and Skew Self-Adjointness of Nadir's Operator


Mostefa Nadir and Abdellatif Smati

Department of Mathematics,
University of Msila 28000,


In this paper, we present some sufficient conditions which ensure the compactness, the normality, the positivity, the closedness and the skew self-adjointness of the unbounded Nadir's operator on a Hilbert space. We get also when the measurement of its adjointness is null and other related results are also established.

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