Moore-Penrose inverses of Gram operators on Hilbert C*-modules

M. S. Moslehian, et al. "Moore-Penrose inverses of Gram operators on Hilbert C*-modules." Studia Mathematica 210.2 (2012): 189-196. <http://eudml.org/doc/285532>.

@article{M2012,
abstract = {Let t be a regular operator between Hilbert C*-modules and $t^\{†\}$ be its Moore-Penrose inverse. We investigate the Moore-Penrose invertibility of the Gram operator t*t. More precisely, we study some conditions ensuring that $t^\{†\} = (t*t)^\{†\}t* = t*(tt*)^\{†\}$ and $(t*t)^\{†\} = t^\{†\}t*^\{†\}$. As an application, we get some results for densely defined closed operators on Hilbert C*-modules over C*-algebras of compact operators.},
author = {M. S. Moslehian, K. Sharif, M. Forough, M. Chakoshi},
journal = {Studia Mathematica},
keywords = {unbounded operator; Moore-Penrose inverse; Hilbert -module; -algebra; -algebra of compact operators},
language = {eng},
number = {2},
pages = {189-196},
title = {Moore-Penrose inverses of Gram operators on Hilbert C*-modules},
url = {http://eudml.org/doc/285532},
volume = {210},
year = {2012},
}

TY - JOUR
AU - M. S. Moslehian
AU - K. Sharif
AU - M. Forough
AU - M. Chakoshi
TI - Moore-Penrose inverses of Gram operators on Hilbert C*-modules
JO - Studia Mathematica
PY - 2012
VL - 210
IS - 2
SP - 189
EP - 196
AB - Let t be a regular operator between Hilbert C*-modules and $t^{†}$ be its Moore-Penrose inverse. We investigate the Moore-Penrose invertibility of the Gram operator t*t. More precisely, we study some conditions ensuring that $t^{†} = (t*t)^{†}t* = t*(tt*)^{†}$ and $(t*t)^{†} = t^{†}t*^{†}$. As an application, we get some results for densely defined closed operators on Hilbert C*-modules over C*-algebras of compact operators.
LA - eng
KW - unbounded operator; Moore-Penrose inverse; Hilbert -module; -algebra; -algebra of compact operators
UR - http://eudml.org/doc/285532
ER -