Operator matrix of Moore-Penrose inverse operators on Hilbert C*-modules

Mehdi Mohammadzadeh Karizaki, et al. "Operator matrix of Moore-Penrose inverse operators on Hilbert C*-modules." Colloquium Mathematicae 140.2 (2015): 171-182. <http://eudml.org/doc/284282>.

@article{MehdiMohammadzadehKarizaki2015,
abstract = {We show that the Moore-Penrose inverse of an operator T is idempotent if and only if it is a product of two projections. Furthermore, if P and Q are two projections, we find a relation between the entries of the associated operator matrix of PQ and the entries of associated operator matrix of the Moore-Penrose inverse of PQ in a certain orthogonal decomposition of Hilbert C*-modules.},
author = {Mehdi Mohammadzadeh Karizaki, Mahmoud Hassani, Maryam Amyari, Maryam Khosravi},
journal = {Colloquium Mathematicae},
keywords = {Hilbert C$^\ast $-module; Moore-Penrose inverse; closed range; idempotent operator},
language = {eng},
number = {2},
pages = {171-182},
title = {Operator matrix of Moore-Penrose inverse operators on Hilbert C*-modules},
url = {http://eudml.org/doc/284282},
volume = {140},
year = {2015},
}

TY - JOUR
AU - Mehdi Mohammadzadeh Karizaki
AU - Mahmoud Hassani
AU - Maryam Amyari
AU - Maryam Khosravi
TI - Operator matrix of Moore-Penrose inverse operators on Hilbert C*-modules
JO - Colloquium Mathematicae
PY - 2015
VL - 140
IS - 2
SP - 171
EP - 182
AB - We show that the Moore-Penrose inverse of an operator T is idempotent if and only if it is a product of two projections. Furthermore, if P and Q are two projections, we find a relation between the entries of the associated operator matrix of PQ and the entries of associated operator matrix of the Moore-Penrose inverse of PQ in a certain orthogonal decomposition of Hilbert C*-modules.
LA - eng
KW - Hilbert C$^\ast $-module; Moore-Penrose inverse; closed range; idempotent operator
UR - http://eudml.org/doc/284282
ER -