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/