Absolute values in orthogonally decomposable spaces

DOI10.1017/S0004972700004706zbMath0592.46008OpenAlexW1976080076MaRDI QIDQ3721193

Sadayuki Yamamuro

Publication date: 1985

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700004706

zbMATH Keywords

absolute valuesordered Banach spaceconditioncanonical half-normorthogonally decomposablelinear operators which satisfy Kato's inequality and the localitylinear operators which satisfy Kato's inequality and the locality condition

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40)

Related Items (4)

On homomorphisms of an orthogonally decomposable Hilbert space ⋮ Positive Maps on Self-Dual Cones ⋮ Complete orthogonal decomposition homomorphisms between matrix ordered Hilbert spaces ⋮ Extremal maps of a Hilbert space equipped with a natural cone

Cites Work

• Kato's equality and spectral decompositon for positive \(C_ 0\)-groups
• Hereditary cones, order ideals and half-norms
• Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
• Schrödinger operators with singular potentials
• Linear Maps of C ∗ -Algebras Preserving the Absolute Value
• Unnamed Item

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