Author:
Boucif Imene, ,Dehimi Souheyb,Mortad Mohammed Hichem, ,
Abstract
The primary purpose of the present paper is to investigate when relations of the types |AB|=|A||B|, |A±B|⩽|A|+|B|, ||A|−|B||⩽|A±B| and |¯¯¯¯¯¯¯¯¯¯¯ReA|⩽|A| (among others) hold in an unbounded operator setting. As consequences, we obtain a characterization of (unbounded) self-adjointness as well as a characterization of invertibility for the class of unbounded normal operators. Some examples accompany our results.
Subject
Algebra and Number Theory
Cited by
13 articles.
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