On the nonexistence of order isomorphisms between the sets of all self-adjoint and all positive definite operators

DOI10.1155/2015/434020zbMath1470.46013OpenAlexW2016365646WikidataQ59101637 ScholiaQ59101637MaRDI QIDQ2319359

Lajos Molnár

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/434020

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (2)

Order isomorphisms of operator intervals ⋮ On the Linearity of Order-isomorphisms

Cites Work

• Unnamed Item
• Comparability preserving maps on Hilbert space effect algebras
• Order automorphisms on positive definite operators and a few applications
• Commutativity of operators
• Infima of Hilbert space effects
• On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• An order characterization of commutativity for 𝐶*-algebras
• Order-automorphisms of the set of bounded observables
• Symmetries of Hilbert space effect algebras
• Order Isomorphisms of Cones
• The Selfadjoint Operators of a Von Neumann Algebra Form a Conditionally Complete Lattice
• Order Properties of Bounded Self-Adjoint Operators

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