@article {
author = {Sharifi, K. and A. Bonakdar, Behnaz},
title = {The reverse order law for Moore-Penrose inverses of operators on Hilbert C*-modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {1},
pages = {53-60},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Suppose $T$ and $S$ are Moore-Penrose invertible operators betweenHilbert C*-module. Some necessary and sufficient conditions are given for thereverse order law $(TS)^{ dag} =S^{ dag} T^{ dag}$ to hold.In particular, we show that the equality holds if and only if $Ran(T^{*}TS) subseteq Ran(S)$ and $Ran(SS^{*}T^{*}) subseteq Ran(T^{*}),$ which was studied first by Greville [{it SIAM Rev. 8 (1966) 518--521}] for matrices.},
keywords = {Bounded adjointable operator,Hilbert C*-module,generalized inverse,reverse order law},
url = {http://bims.iranjournals.ir/article_741.html},
eprint = {http://bims.iranjournals.ir/article_741_e95e4eb2557dba2d2bb48b970aa22608.pdf}
}