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.
Chun Yuan Deng and Hong Ke Du
South China Normal University and Shaanxi Normal University
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
2008; 45(5): 1417-1425
2010; 47(4): 831-843
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