The Reverse Order Law in Indefinite Inner Product Spaces

Sachindranath Jayaraman ()
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Sachindranath Jayaraman: IISER Thiruvananthapuram, School of Mathematics

A chapter in Combinatorial Matrix Theory and Generalized Inverses of Matrices, 2013, pp 133-141 from Springer

Abstract: Abstract The aim of this short note is to present a few reverse order laws for the Moore–Penrose inverse and the group inverse (when it exists) in indefinite inner product spaces, with respect to the indefinite matrix product. We also point out its relationship with the star and sharp orders, respectively.

Keywords: Indefinite matrix product; Indefinite inner product spaces; Star order; Sharp order; Reverse order laws; 46C20; 15A09 (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1053-5_11

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DOI: 10.1007/978-81-322-1053-5_11

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