SELF-ADJOINT OPERATORS AS FUNCTIONS I: LATTICES, GALOIS CONNECTIONS, AND THE SPECTRAL ORDER
作者： Andreas Döring , Barry Dewitt
DOI: 10.1007/S00220-014-1991-3
关键词: Algebra 、 Galois connection 、 Unbounded operator 、 Spectral theorem 、 Complete lattice 、 Von Neumann algebra 、 Operator theory 、 Affiliated operator 、 Self-adjoint operator 、 Mathematics
摘要: Observables of a quantum system, described by self-adjoint operators in von Neumann algebra or affiliated with it the unbounded case, form conditionally complete lattice when equipped spectral order. Using this order-theoretic structure, we develop new perspective on observables.
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