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On the Moore–Penrose inverse, EP Banach space operators, and EP Banach algebra elements

Authors :
Enrico Boasso
Source :
Journal of Mathematical Analysis and Applications. 339(2):1003-1014
Publication Year :
2008
Publisher :
Elsevier BV, 2008.

Abstract

The main concern of this note is the Moore–Penrose inverse in the context of Banach spaces and algebras. Especially attention will be given to a particular class of elements with the aforementioned inverse, namely EP Banach space operators and Banach algebra elements, which will be studied and characterized extending well-known results obtained in the frame of Hilbert space operators and C ∗ -algebra elements.

Details

ISSN :
0022247X
Volume :
339
Issue :
2
Database :
OpenAIRE
Journal :
Journal of Mathematical Analysis and Applications
Accession number :
edsair.doi.dedup.....76c1ba1648612ff7c6548e3e281f7cd2
Full Text :
https://doi.org/10.1016/j.jmaa.2007.07.059