Thomas Speckhofer

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20232026

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math.FA2026

Quotients of $L_{1}$ by subsequences of the Haar system have cotype 2

Stephen Dilworth, Denka Kutzarova, Mikhail Ostrovskii +1

Let $Y$ be the closed linear span of a subsequence of the Haar system in $L_{1}$ . We prove that the quotient space $L_{1} / Y$ has cotype~ $2$ . This result implies that transportation cos…

math.FA2026

Subspaces of $L^{1}$ spanned by the even and odd levels of the Haar system

Thomas Speckhofer

We prove that the closed subspace of $L^{1} [0, 1]$ spanned by the even (respectively, odd) levels of the Haar system is not isomorphic to $L^{1} [0, 1]$ .

Quotients of L1​ by subsequences of the Haar system have cotype 2

Subspaces of L1 spanned by the even and odd levels of the Haar system

Quotients of $L_{1}$ by subsequences of the Haar system have cotype 2

Subspaces of $L^{1}$ spanned by the even and odd levels of the Haar system