THE BANACH-LIE *-ALGEBRA OF MULTIPLICATION OPERATORS ON A W*-ALGEBRA

DOI10.1142/S1793557111000198zbMath1250.46049OpenAlexW2003747105WikidataQ115244555 ScholiaQ115244555MaRDI QIDQ3013875

Maysaa Al Qurashi, Christopher S. Hoskin, Najla A. Altwaijry, C. Martin Edwards

Publication date: 19 July 2011

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557111000198

zbMATH Keywords

multiplication operatorstate spacegeneralized derivationorder structureW*-algebraBanach-Lie *-algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators on Banach algebras (47B48) Nonassociative selfadjoint operator algebras (46L70) Ordered normed spaces (46B40)

Cites Work

• Factorization in group algebras
• A Stone-Weierstrass theorem for \(C^*\)-algebras
• The Banach-Lie algebra of multiplication operators on a \(JBW^{*}\)-triple
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• The ideal center of partially ordered vector spaces
• Isometries of operator algebras
• IRREDUCIBLE OPERATOR ALGEBRAS
• Derivatons of Jordan $C^*$-algebras.
• A Vidav theorem for Banach Jordan algebras
• The Ranges of Certain Convolution Operators.

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