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arXiv · 1308.1897

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

Enrico Boasso
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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.

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Enrico Boasso. 2013-08-08. On the Moore-Penrose inverse, EP Banach space operators and EP Banach algebra elements. https://arxiv.org/abs/1308.1897

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