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Bull. Korean Math. Soc. 2014; 51(2): 501-510

Printed March 31, 2014

https://doi.org/10.4134/BKMS.2014.51.2.501

Copyright © The Korean Mathematical Society.

Characterizations and the Moore-Penrose inverse of hypergeneralized k-projectors

Marina To\v{s}i\'c

University of Ni\v s

Abstract

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We characterize hypergeneralized k-projectors (i.e., $A^k=A^\dagger$). Also, some representation for the Moore-Penrose inverse of a linear combination of hypergeneralized k-projectors is found and the invertibility for some linear combinations of commuting hypergeneralized k-projectors is considered.

Keywords: hypergeneralized k-projector, linear combination, the Moore-Penrose inverse, nonsingularity

MSC numbers: 15A09

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