On the Moore-Penrose inverse, EP Banach space operators, and EP Banach algebra elements |
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Authors: | Enrico Boasso |
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Institution: | Via Cristoforo Cancellieri 2, 34137 Trieste, TS, Italy |
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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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Keywords: | Moore-Penrose inverse Hermitian idempotents EP Banach space operators EP Banach algebra elements |
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