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http://dx.doi.org/10.4134/JKMS.2013.50.6.1349

WEIGHTED MOORE-PENROSE INVERTIBLE AND WEIGHTED EP BANACH ALGEBRA ELEMENTS  

Boasso, Enrico (Via Cristoforo Cancellieri 2)
Djordjevic, Dragan S. (Faculty of Sciences and Mathematics University of Nis)
Mosic, Dijana (Faculty of Sciences and Mathematics University of Nis)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1349-1367 More about this Journal
Abstract
The weighted Moore-Penrose inverse will be introduced and studied in the context of Banach algebras. In addition, weighted EP Banach algebra elements will be characterized. The Banach space operator case will be also considered.
Keywords
(weighted) Moore-Penrose inverse; (weighted) EP element; group inverse; Banach algebra; Banach space operator;
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