Orthogonality: An Antidote to Kadison’s Anti-Lattice Theorem

DOI10.1007/978-3-030-70974-7_11zbMath1484.46056arXiv1912.09070OpenAlexW2995588938MaRDI QIDQ5152984

Anil Kumar Karn

Publication date: 28 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09070

zbMATH Keywords

algebraic orthogonalityabsolute order unit spaceabsolute \(\infty \)-orthogonalityortho-infimumortho-supremum

Mathematics Subject Classification ID

Banach lattices (46B42) General theory of (C^*)-algebras (46L05) Ordered normed spaces (46B40)

Cites Work

• Unnamed Item
• Unnamed Item
• Orthogonality in \(C^{*}\)-algebras
• Orthogonality in \(\ell _p\)-spaces and its bearing on ordered Banach spaces
• Isometries of absolute order unit spaces
• The index of a pair of projections
• Partial isometries in an absolute order unit space
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• Algebraic orthogonality and commuting projections in operator algebras
• Order in Operator Algebras
• Order Properties of Bounded Self-Adjoint Operators

This page was built for publication: Orthogonality: An Antidote to Kadison’s Anti-Lattice Theorem