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Spaces of operators with the Riesz separation property

✍ Scribed by A.W Wickstead

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
662 KB
Volume
6
Category
Article
ISSN
0019-3577

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## Abstract We study the quantum logics which satisfy the Riesz Interpolation Property. We call them the RIP logics. We observe that the class of RIP logics is considerable large—it contains all lattice quantum logics and, also, many (infinite) non‐lattice ones. We then find out that each RIP logic

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## Abstract The Dirac operators equation image with __L__^2^‐potentials equation image considered on [0, π] with periodic, antiperiodic or Dirichlet boundary conditions (__bc__), have discrete spectra, and the Riesz projections equation image are well‐defined for |__n__ | ≥ __N__ if __N__ is