Moore-Penrose inverse of conditional type operators

چکیده مقاله

We prove some basic results on someMoore-Penrose inverse of conditional type operators
on L2(S) . For instance, we show, among other results, that a weighted conditional operator
T = MwEMu is centered if and only if T† , the Moore-Penrose inverse of T , is centered. In addition,
we establish lower and upper bounds for the numerical range of T and T† .