# On the Moore-Penrose inverse in C*-algebras.

Extracta Mathematicae (2006)

- Volume: 21, Issue: 2, page 93-106
- ISSN: 0213-8743

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topBoasso, Enrico. "On the Moore-Penrose inverse in C*-algebras.." Extracta Mathematicae 21.2 (2006): 93-106. <http://eudml.org/doc/41853>.

@article{Boasso2006,

abstract = {In this article, two results regarding the Moore-Penrose inverse in the frame of C*-algebras are considered. In first place, a characterization of the so-called reverse order law is given, which provides a solution of a problem posed by M. Mbekhta. On the other hand, Moore-Penrose hermitian elements, that is C*-algebra elements which coincide with their Moore-Penrose inverse, are introduced and studied. In fact, these elements will be fully characterized both in the Hilbert space and in the C*-algebra setting. Furthermore, it will be proved that an element is normal and Moore-Penrose hermitian if and only if it is a hermitian partial isometry.},

author = {Boasso, Enrico},

journal = {Extracta Mathematicae},

keywords = {Algebra de operadores; C*-álgebras; regular element; Moore-Penrose inverse; Moore-Penrose Hermitian element; -algebra; reverse order law},

language = {eng},

number = {2},

pages = {93-106},

title = {On the Moore-Penrose inverse in C*-algebras.},

url = {http://eudml.org/doc/41853},

volume = {21},

year = {2006},

}

TY - JOUR

AU - Boasso, Enrico

TI - On the Moore-Penrose inverse in C*-algebras.

JO - Extracta Mathematicae

PY - 2006

VL - 21

IS - 2

SP - 93

EP - 106

AB - In this article, two results regarding the Moore-Penrose inverse in the frame of C*-algebras are considered. In first place, a characterization of the so-called reverse order law is given, which provides a solution of a problem posed by M. Mbekhta. On the other hand, Moore-Penrose hermitian elements, that is C*-algebra elements which coincide with their Moore-Penrose inverse, are introduced and studied. In fact, these elements will be fully characterized both in the Hilbert space and in the C*-algebra setting. Furthermore, it will be proved that an element is normal and Moore-Penrose hermitian if and only if it is a hermitian partial isometry.

LA - eng

KW - Algebra de operadores; C*-álgebras; regular element; Moore-Penrose inverse; Moore-Penrose Hermitian element; -algebra; reverse order law

UR - http://eudml.org/doc/41853

ER -

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