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- W4298166370 abstract "Let $S^1$ be the stopping time space and $mathcal{B}_1(S^1)$ be the Baire-1 elements of the second dual of $S^1$. To each element $x^{**}$ in the space $mathcal{B}_1(S^1)$ we associate a positive Borel measure $mu_{x^{**}}$ on the Cantor set. We use the measures ${mu_{x^{**}}: x^{**}inmathcal{B}_1(S^1) }$ to characterize the operators $T:Xto S^1$, defined on a space $X$ with an unconditional basis, which preserve a copy of $S^1$. In particular, we show that $T$ preserves a copy of $S^1$ if and only if the set ${mu_{x^{**}}:;x^{**}inmathcal{B}_1(S^1)}$ is non separable as a subset of $mathcal{M}(2^mathbb{N})$." @default.
- W4298166370 created "2022-10-01" @default.
- W4298166370 creator A5082009718 @default.
- W4298166370 date "2015-03-26" @default.
- W4298166370 modified "2023-09-23" @default.
- W4298166370 title "Operators on the Stopping Time Space" @default.
- W4298166370 doi "https://doi.org/10.48550/arxiv.1503.07756" @default.
- W4298166370 hasPublicationYear "2015" @default.
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