Moore–Penrose inverse of an invertible infinite matrix

Author: Sivakumar, K. C.

Source: Linear and Multilinear Algebra, Volume 54, Number 1, January&U8211;February 2006 , pp. 71-77(7)

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Abstract:

In this article we show that, contrary to finite matrices (with real or complex entries) an invertible infinite matrix V could have a Moore–Penrose inverse that is not a classical inverse of V . This also answers a recent open problem on infinite matrices.

Keywords: Moore–Penrose inverse; Infinite matrices; AMS Subject Classification: Primary 15A09

Document Type: Research article

DOI: http://dx.doi.org/10.1080/03081080500054265

Affiliations: 1: Communicated by S. Kirkland

Publication date: 2006-01-01