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Commutative subspace lattices, complete distributivity and approximation. (English) Zbl 0824.47036
Curto, Raúl E. (ed.) et al., Multivariable operator theory. A joint summer research conference on multivariable operator theory, July 10-18, 1993, University of Washington, Seattle, WA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 185, 89-107 (1995).
Summary: This paper is a survey of certain aspects of CSL algebras, emphasizing the role of complete distributivity as a tool for doing various useful approximations both of the lattice and various operators in the algebra.
For the entire collection see [Zbl 0819.00022].
47L30 Abstract operator algebras on Hilbert spaces