Drazin geometric Quasi-Mean For Lambert conditional operators

Morteza Sohrabi


In this paper we introduce the Drazin geometric quasi-mean
$A\textcircled{d}_{\nu}B=||BA^d|^\nu A|^2$ for bounded conditional
operator $A$ and $B$ in $L^2(\Sigma)$, where $A$ has closed range
and $\nu\geq 0$.  In addition, we discuss some measure theoretic
characterizations for conditional operators in some operator
classes. Moreover, some practical examples are provided to
illustrate the obtained results


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