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- W2806572883 abstract "We use the compactness theorem of continuous logic to give a new proof that $L^r([0,1]; mathbb{R})$ isometrically embeds into $L^p([0,1]; mathbb{R})$ whenever $1 leq p leq r leq 2$. We will also give a proof for the complex case. This will involve a new characterization of complex $L^p$ spaces based on Banach lattices." @default.
- W2806572883 created "2018-06-13" @default.
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- W2806572883 date "2018-05-29" @default.
- W2806572883 modified "2023-09-27" @default.
- W2806572883 title "Continuous logic and embeddings of Lebesgue spaces" @default.
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