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- W2950043366 abstract "We present an operator space version of Rieffel's theorem on the agreement of the metric topology, on a subset of the Banach space dual of a normed space, from a seminorm with the weak*-topology. As an application we obtain a necessary and sufficient condition for the matrix metric from an unbounded Fredholm module to give the BW-topology on the matrix state space of the $C^*$-algebra. Motivated by recent results we formulate a non-commutative Lipschitz seminorm on a matrix order unit space and characterize those matrix Lipschitz seminorms whose matrix metric topology coincides with the BW-topology on the matrix state space." @default.
- W2950043366 created "2019-06-27" @default.
- W2950043366 creator A5050029981 @default.
- W2950043366 date "2004-10-27" @default.
- W2950043366 modified "2023-09-22" @default.
- W2950043366 title "Non-commutative metric topology on matrix state space" @default.
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