A SOLUTION OF THE MATRIX PROBLEM FOR RICKART C-ASTERISK-ALGEBRAS

Authors
ARA P GOLDSTEIN D
Citation
P. Ara et D. Goldstein, A SOLUTION OF THE MATRIX PROBLEM FOR RICKART C-ASTERISK-ALGEBRAS, Mathematische Nachrichten, 164, 1993, pp. 259-270
Citations number
23
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
164
Year of publication
1993
Pages
259 - 270
Database
ISI
SICI code
0025-584X(1993)164:<259:ASOTMP>2.0.ZU;2-R
Abstract
We prove that matrix algebras over a Rickart C-algebra are also Ricka rt C-algebras. As a consequence of this, every Rickart C*-algebra is an UMF-algebra and satisfies polar decomposition.