Rickart \(C^*\)-algebras are \(\sigma\)-normal

DOI10.1007/BF01194168zbMath0858.46043OpenAlexW1986844666MaRDI QIDQ1924578

Pere Ara, Goldstein, Dmitry

Publication date: 31 March 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194168

zbMATH Keywords

\(\sigma\)-normalright annihilatorprincipal right idealRickart \(C^*\)-algebramonotone sequentially complete

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (3)

Abelian strict approximation in $AW^*$-algebras and Weyl-von Neumann type theorems ⋮ The small projections property of \(C^\ast\)-algebras ⋮ Trace inequalities for Rickart \(C^{\ast}\)-algebras

Cites Work

• Unnamed Item
• Rickart C* algebras. II
• Left and right projections are equivalent in Rickart \(C^*\)-algebras
• Homomorphisms of C* algebras to finite AW* algebras
• Properly infinite AW^* -Algebras are Monotone Sequentially Complete
• A Solution of the Matrix Problem for RickartC*-Algebras

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