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• W2964131446 abstract "Let $lambdain mathbb{R},$ $muin mathbb{R}$ and $B$ be a linear bounded operator from a Hilbert space $mathcal{K}$ into another Hilbert space $mathcal{H}.$ In this paper, we consider the formulas of the absolute value $|Q_{lambda,mu}|,$ where $Q_{lambda,mu}$ with respect to the decomposition $mathcal{H}oplusmathcal{K}$ have the operator matrix form $Q_{lambda,mu}:=left(begin{array}{cc}lambda I&BB^*&mu Iend{array}right).$ Then the positive part and the support projection of $Q_{lambda,0}$ are obtained. Also, we characterize the symmetry $J$ such that a projection $E$ is the $J$-projection. In particular, the minimal element of the set of all symmetries $J$ with the property $JEgeqslant0$ is described." @default.
• W2964131446 created "2019-07-30" @default.
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• W2964131446 date "2019-03-01" @default.
• W2964131446 modified "2023-10-13" @default.
• W2964131446 title "The Absolute Values and Support Projections for a Class of Operator Matrices Involving Idempotents" @default.
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• W2964131446 doi "https://doi.org/10.1007/s11785-019-00897-z" @default.
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