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- W45175091 abstract "We present a necessary and sufficient condition for a commutative subspace lattice (CSL) to have the property that every sublattice has the universal factorization property (UFP). Then we derive a sufficient condition for a CSL to have the UFP which applies to all known examples of CSL’s with the UFP. (The preceding results are, in fact, obtained for CSL- subalgebras of factor von Neumann algebras.) Finally, we give an example of a CSL which has the UFP, even though it is not a direct sum of a complemented lattice and a CSL with the property that every linearly ordered sublattice is countable." @default.
- W45175091 created "2016-06-24" @default.
- W45175091 creator A5044175233 @default.
- W45175091 date "1994-01-01" @default.
- W45175091 modified "2023-09-26" @default.
- W45175091 title "The Universal Factorization Property for Commutative Subspace Lattices" @default.
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- W45175091 doi "https://doi.org/10.1007/978-1-4612-0255-4_8" @default.
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