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Cross-references: strong operator topology, converges, decreasing, increasing, net, poset, limits, useful, iff, orthomodular lattice, orthocomplement, orthocomplemented lattice, orthogonal complement, topologically complemented, atomistic lattice, span, atoms, atomic lattice, contains, strictly, infinite-dimensional, subalgebras, finite dimensional, modular, supremum, infimum, onto, generated by, closure, intersection, least upper bound, greatest lower bound, equivalent, theorem, positive operators, inclusion, range, subspaces, closed, bijective, von Neumann algebras, consequences, lattice, complete lattice, partial ordering, vector space, self-adjoint operator, orthogonal projection, projection, bounded operators, algebra, Hilbert space
There are 2 references to this entry.
This is version 11 of lattice of projections, born on 2008-03-08, modified 2008-03-13.
Object id is 10377, canonical name is LatticeOfProjections.
Accessed 1465 times total.
Classification:
| AMS MSC: | 06C15 (Order, lattices, ordered algebraic structures :: Modular lattices, complemented lattices :: Complemented lattices, orthocomplemented lattices and posets) | | | 46C05 (Functional analysis :: Inner product spaces and their generalizations, Hilbert spaces :: Hilbert and pre-Hilbert spaces: geometry and topology ) | | | 46C07 (Functional analysis :: Inner product spaces and their generalizations, Hilbert spaces :: Hilbert subspaces ) | | | 46L10 (Functional analysis :: Selfadjoint operator algebras :: General theory of von Neumann algebras) |
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Pending Errata and Addenda
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