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- W2004222590 abstract "We study necessary and sufficient conditions on a bounded operator T defined on the Hilbert space to be an isometry and show that, under suitable hypotheses, it suffices to restrict T to a smaller class of functions (e.g., if , to the cone of positive and decreasing functions). We also consider the problem of characterizing the sets for which the orthogonal projection of the operator T on is also an isometry. Finally, we illustrate our results with several examples involving classical operators on different settings." @default.
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- W2004222590 date "2013-08-25" @default.
- W2004222590 modified "2023-10-18" @default.
- W2004222590 title "Isometries on L2(X) and monotone functions" @default.
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- W2004222590 doi "https://doi.org/10.1002/mana.201200346" @default.
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