A new proof is obtained to the following fact: a Rickart C*-algebra satisfies polar decomposition. Equivalently, matrix algebras over a Rickart C*-algebra are also Rickart C*-algebras.
@article{urn:eudml:doc:41224,
title = {Polar decomposition in Rickart C*-algebras.},
journal = {Publicacions Matem\`atiques},
volume = {39},
year = {1995},
pages = {5-21},
mrnumber = {MR1336353},
zbl = {0836.46047},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41224}
}
Goldstein, Dmitry. Polar decomposition in Rickart C*-algebras.. Publicacions Matemàtiques, Tome 39 (1995) pp. 5-21. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41224/