REPRESENTATIONS OF THE MOORE-PENROSE INVERSE OF 2×2 BLOCK OPERATOR VALUED MATRICES

Title & Authors
REPRESENTATIONS OF THE MOORE-PENROSE INVERSE OF 2×2 BLOCK OPERATOR VALUED MATRICES
Deng, Chun Yuan; Du, Hong Ke;

Abstract
We obtain necessary and sufficient conditions for $\small{2{\tims}2}$ block operator valued matrices to be Moore-Penrose (MP) invertible and give new representations of such MP inverses in terms of the individual blocks.
Keywords
block operator valued matrix;Moore-Penrose inverse;inverse matrix;
Language
English
Cited by
1.
Hypo-EP operators, Indian Journal of Pure and Applied Mathematics, 2016, 47, 1, 73
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