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An application of Dye's theorem on projection lattices to orthogonally decomposable isomorphisms

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Publication:910674
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DOI10.2140/pjm.1989.137.1zbMath0696.46044OpenAlexW2062711572MaRDI QIDQ910674

Huzihiro Araki

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2140/pjm.1989.137.1


zbMATH Keywords

direct summandsJordan decompositionorthogonally decomposable homomorphisms


Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10)


Related Items (5)

Positive Maps on Self-Dual Cones ⋮ Order isomorphisms of operator intervals in von Neumann algebras ⋮ Preservation of order and orthogonality on preduals of Jordan algebras ⋮ Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups ⋮ An application of orthoisomorphisms to non-commutative \(L^ p\)-isometries




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