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- W1944768325 abstract "An element sof an (abstract) algebra Ais asingle elementofAif asb =0 and ab∈A implies thatas =0 orsb =0. Such elements were first used by operator theorists in 1961 when J.R. Ringrose proved that algebraic isomorphisms between certain nest algebras were spatial. They have been successfully used since, towards a similar end, namely, in proving the (quasi-)spatiality of algebraic isomorphisms between reflexive operator algebras. These results, and others concerning the structure and the rank of single elements in operator algebras of various types, are reviewed in this article." @default.
- W1944768325 created "2016-06-24" @default.
- W1944768325 creator A5043622081 @default.
- W1944768325 date "2003-01-01" @default.
- W1944768325 modified "2023-09-28" @default.
- W1944768325 title "Single Elements of Operator Algebras" @default.
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- W1944768325 doi "https://doi.org/10.1007/978-3-0348-8007-7_12" @default.
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