Ring and lattice characterizations of complex Hilbert space
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Publication:5836004
DOI10.1090/S0002-9904-1946-08644-9zbMath0060.26305MaRDI QIDQ5836004
George W. Mackey, Shizuo Kakutani
Publication date: 1946
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Related Items (29)
On complemented and annihilator algebras ⋮ Contractive projections on Banach space ⋮ A Kakutani-Mackey-like theorem ⋮ Characterizations of Hilbert space and the Vidav-Palmer theorem ⋮ Annihilator and complemented banach*-algebras ⋮ Ring derivations of Murray-von Neumann algebras ⋮ Wigner-type theorems for projections ⋮ Quantum Logic and the Locally Convex Spaces ⋮ A characterization of Hilbert \(C^*\)-modules as Banach modules with involution ⋮ Normed Linear Spaces Equivalent to Inner Product Spaces ⋮ Representation Theorems for Complemented Algebras ⋮ Lattice isomorphisms between projection lattices of von Neumann algebras ⋮ Multiplicatively pseudo spectrum-preserving maps ⋮ Ring characterization of scalar product spaces and Gel’fand triples ⋮ Bibliography on quantum logics and related structures ⋮ Quasi-Complemented Algebras ⋮ Boolean transfer from coherent quantum logics to quantum logics with continuous superselection rules ⋮ Orthomodular lattices and quadratic spaces: A survey ⋮ A characterization of real and complex Hilbert spaces among all normed spaces ⋮ Geometrical characterization of semilinear isomorphisms of vector spaces and semilinear homeomorphisms of normed spaces ⋮ Lattice approach to Wigner-type theorems ⋮ Automorphisms of an orthomodular poset of projections ⋮ Maps preserving absolute continuity and singularity of positive operators ⋮ Action of \(W^*\)-algebras in Banach spaces ⋮ Quantum and classical logic: Their respective roles ⋮ Towards generalized probabilities in quantum mechanics ⋮ Isomorphisms of large ideals of AW*-algebras ⋮ On Birkhoff-James orthogonality preservers between real non-isometric Banach spaces ⋮ On irreducible operator *-algebras on Banach spaces
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