Star order and partial isometries in \(C^\ast\)-algebras

DOI10.1134/S1995080221100085zbMath1482.46058OpenAlexW3207237067MaRDI QIDQ2242581

Jan Hamhalter, Ekaterina Turilova

Publication date: 10 November 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221100085

zbMATH Keywords

\( \ast \)-order\( \ast \)-orthogonalityposet of partial isometries

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Nonassociative selfadjoint operator algebras (46L70)

Cites Work

• Dye's theorem and Gleason's theorem for \(AW^\ast\)-algebras
• Lattice properties of the *-order for complex matrices
• On certain automorphisms of sets of partial isometries.
• Characterizing projections among positive operators in the unit sphere
• Dye's theorem for tripotents in von Neumann algebras and JBW\(^*\)-triples
• Finite tripotents and finite \(\text{JBW}^\ast\)-triples
• Jordan invariants of von Neumann algebras given by abelian subalgebras and Choquet order on state spaces
• Maps on quantum observables preserving the Gudder order
• On the geometry of projections in certain operator algebras
• Nonlinear maps on von Neumann algebras preserving the star order
• A note on the star order in Hilbert spaces
• Star order on operator and function algebras
• Linear disjointness preservers of operator algebras and related structures
• Exposed faces of the unit ball in a JBW*-triple
• ORDER THEORETIC TYPE DECOMPOSITION OF JBW ^*-TRIPLES
• Natural structures on semigroups with involution
• Non-Associative Normed Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Star order and partial isometries in \(C^\ast\)-algebras