Infima of Hilbert space effects

DOI10.1016/S0024-3795(98)10119-2zbMath0964.46010MaRDI QIDQ1301267

T. Moreland, Stanley P. Gudder

Publication date: 14 February 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

partially ordered setpositive operatorsinfimum

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)

Related Items (26)

Examples, problems, and results in effect algebras ⋮ A note on the infimum problem of Hilbert space effects ⋮ On the infimum problem of Hilbert space effects ⋮ The norm-1-property of a quantum observable ⋮ A Radon-Nikodym type theorem for forms ⋮ Ando's theorem for nonnegative forms ⋮ Notes on sharp and principal elements in effect algebras ⋮ Coexistency on Hilbert space effect algebras and a characterisation of its symmetry transformations ⋮ Quasi-units as orthogonal projections ⋮ An extension of a characterization of the automorphisms of Hilbert space effect algebras ⋮ Generalized infimum and sequential product of quantum effects ⋮ ON THE ORDER STRUCTURE OF REPRESENTABLE FUNCTIONALS ⋮ Sequential product and Jordan product of quantum effects ⋮ Spectral representation of infimum of bounded quantum observables ⋮ A note on the logic of bounded quantum observables ⋮ Complementary observables in quantum mechanics ⋮ A projection and an effect in a synaptic algebra ⋮ Notes on joint measurability of quantum observables ⋮ On the notion of coexistence in quantum mechanics ⋮ Sharp and unsharp quantum effects ⋮ On the nonexistence of order isomorphisms between the sets of all self-adjoint and all positive definite operators ⋮ On the infimum of bounded quantum observables ⋮ A representation theorem of infimum of bounded quantum observables ⋮ Some relations of projection and star order in Hilbert space ⋮ Intrinsic structure of state space of a quantum system ⋮ On the infimum of quantum effects

Cites Work

• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Examples, problems, and results in effect algebras
• Partial order of quantum effects
• Lattice properties of quantum effects
• Order Properties of Bounded Self-Adjoint Operators
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