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Operator algebra
About: Operator algebra is a research topic. Over the lifetime, 5783 publications have been published within this topic receiving 165303 citations.
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46 citations
TL;DR: In this article, it was shown that a biseparating map between spaces B(E) and some other Banach algebras, is automatically continuous and a multiple of an algebra isomorphism.
46 citations
TL;DR: In this paper, the authors obtained explicit expressions for genus one chiral n-point functions for free bosonic and lattice vertex operator algebras and considered the elliptic properties of these functions.
Abstract: We obtain explicit expressions for all genus one chiral n-point functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions.
46 citations
TL;DR: In this article, a non-commutative geometry of the 4-dimensional quantum Hall fluid's theory proposed by Zhang and Hu has been developed, and the fuzzy monopole harmonics, which are the essential elements in the non-computative algebra of functions on S4, are explicitly constructed and their obeying the matrix algebra.
46 citations
TL;DR: In this paper, it was shown that an operator space is completely isometric to a ternary ring of operators if and only if the open unit balls of all of its ma-trix spaces are bounded symmetric domains.
Abstract: We prove that an operator space is completely isometric to a ternary ring of operators if and only if the open unit balls of all of its ma- trix spaces are bounded symmetric domains. From this we obtain an operator space characterization of C*-algebras.
46 citations