Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2009; 46(6): 1139-1150

Printed November 1, 2009

https://doi.org/10.4134/JKMS.2009.46.6.1139

Copyright © The Korean Mathematical Society.

Representations of the Moore-Penrose inverse of $2\times 2$ block operator valued matrices

Chun Yuan Deng and Hong Ke Du

South China Normal University and Shaanxi Normal University

Abstract

We obtain necessary and sufficient conditions for $2\times 2$ 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

MSC numbers: 47A05, 47A62, 15A09