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- W2044014598 abstract "Let K be the unit ball of the Hilbert space which generates a Gaussian measure μ on the real separable Banach space B . Some recent results establish that suitable normalized μ-Gaussian samples approach the smoothest points on the boundary of K slowest. As a partial explanation of this phenomenon we show that these points contain that portion of the boundary closest to points outside K . We also examine what happens if K is replaced by an arbitrary compact convex C in B , and attempt to characterize the set on the boundary of C which is closest to points outside C . Another result shows how this phenomenon characterizes B as a reflexive Banach space, and we also include some examples of interest." @default.
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- W2044014598 date "1994-09-01" @default.
- W2044014598 modified "2023-09-26" @default.
- W2044014598 title "Gaussian Samples Approach Smooth Points Slowest" @default.
- W2044014598 doi "https://doi.org/10.1006/jfan.1994.1110" @default.
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