On the Moore-Penrose and the Drazin inverse of two projections on Hilbert space
2012 (English)Report (Other academic)
For two given orthogonal, generalized or hypergeneralized projectionsP and Q on Hilbert space H, we gave their matrix representation. We also gave canonical forms of the Moore-Penrose and the Drazin inverses of their product, difference and sum. In addition, it is showed when these operators are EP and some simple correlations between mentioned operators are established.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2012. , 16 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2012:03
Moore-penrose inverse, Drazin inverse, generalized projection, hypergeneralized projection
IdentifiersURN: urn:nbn:se:liu:diva-75869ISRN: LiTH-MAT-R–2012/03–SEOAI: oai:DiVA.org:liu-75869DiVA: diva2:509701