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- W3149718818 abstract "Let n be an integer and Sn the group of permutations of the set {1, 2, ..., n} equipped with the Haar measure. We define the linear operators Tn as follows: Tnx(π) = ∑n i=1 xi,π(i), for π ∈ Sn, where x = ∑ 1≤i,j≤n xi,jχEi,j , and (Ei,j) are disjoint subsets of [0,1], and meas(Ei,j) = n −2. A criteria for the uniform boundedness of the operators Tn in rearrangement invariant spaces is presented. Joint work with S. Astashkin, F. Sukochev and D. Zanin." @default.
- W3149718818 created "2021-04-13" @default.
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- W3149718818 date "1998-04-21" @default.
- W3149718818 modified "2023-09-24" @default.
- W3149718818 title "Random rearrangements and operators" @default.
- W3149718818 doi "https://doi.org/10.1090/trans2/184/11" @default.
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