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- W2764488004 abstract "In this paper we study the structure of local isometries on $mathcal {L}(X,C(K))$. We show that when $K$ is first countable and $X$ is uniformly convex and the group of isometries of $X^ast$ is algebraically reflexive, the range of a local isometry contains all compact operators. When $X$ is also uniformly smooth and the group of isometries of $X^ast$ is algebraically reflexive, we show that a local isometry whose adjoint preserves extreme points is a $C(K)$-module map." @default.
- W2764488004 created "2017-10-27" @default.
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- W2764488004 date "2005-03-22" @default.
- W2764488004 modified "2023-09-27" @default.
- W2764488004 title "Local isometries of $mathcal {L}(X,C(K))$" @default.
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- W2764488004 doi "https://doi.org/10.1090/s0002-9939-05-07832-9" @default.
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