2005
DOI: 10.1090/s0002-9939-05-07832-9
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Local isometries of $\mathcal {L}(X,C(K))$

Abstract: Abstract. In this paper we study the structure of local isometries on L(X, C(K)). We show that when K is first countable and X is uniformly convex and the group of isometries of X * 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 * is algebraically reflexive, we show that a local isometry whose adjoint preserves extreme points is a C(K)-module map.

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Cited by 4 publications
(1 citation statement)
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“…The NVST is a ground-based solar telescope, and the adaptive optics (AO) system (Rao et al 2016) is not yet widely used in daily observations. In order to overcome the influence of seeing, the speckle masking technique (Liu et al 1998;Xiang et al 2016) is used to obtain the high resolution monochromatic images of each off-band.…”
Section: Instrumentations and Observationsmentioning
confidence: 99%
“…The NVST is a ground-based solar telescope, and the adaptive optics (AO) system (Rao et al 2016) is not yet widely used in daily observations. In order to overcome the influence of seeing, the speckle masking technique (Liu et al 1998;Xiang et al 2016) is used to obtain the high resolution monochromatic images of each off-band.…”
Section: Instrumentations and Observationsmentioning
confidence: 99%