Moore-Penrose inverse of conditional type operators
M. R. Jabbarzadeh, Morteza Sohrabi Chegeni · Operators and Matrices · 2017
We prove some basic results on some Moore-Penrose inverse of conditional type operators on L 2 () . For instance, we show, among other results, that a weighted conditional operator T = M w EM u 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 .