Revistes Catalanes amb Accés Obert (RACO)

Polar decomposition in Rickart $C^*$-algebras

D. Goldstein

Resum


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.

Text complet: PDF