2015
DOI: 10.1016/j.laa.2014.10.025
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Derivations of a class of Kadison–Singer algebras

Abstract: MSC: 46L10 47L75 47B47Keywords: Kadison-Singer algebra von Neumann algebra Derivation Unbounded operator Let L be a double triangle lattice of projections in a finite von Neumann algebra acting on a separable and complex Hilbert space K. We show that every derivation from the reflexive algebra determined by L into B(K) is quasi-spatial and automatically continuous. We also obtain that every local derivation on the reflexive algebra is a derivation.

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“…In the study of data placement methods, a large number of methods such as operations research are applied to optimize them [36,37]. And a large number of studies such as [38][39][40][41] and [42] are carried out. Compared with these methods, genetic algorithms have more rapid and accurate characteristics, and better adapt to the requirements of data placement in big data environment.…”
Section: Related Workmentioning
confidence: 99%
“…In the study of data placement methods, a large number of methods such as operations research are applied to optimize them [36,37]. And a large number of studies such as [38][39][40][41] and [42] are carried out. Compared with these methods, genetic algorithms have more rapid and accurate characteristics, and better adapt to the requirements of data placement in big data environment.…”
Section: Related Workmentioning
confidence: 99%