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The Gaussian cotype of operators fromC(K)

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Abstract

We show that the canonical embeddingC(K) →L Φ(μ) has Gaussian cotypep, where μ is a Radon probability measure onK, and Φ is an Orlicz function equivalent tot p(logt)p/2 for larget.

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Montgomery-Smith, S.J. The Gaussian cotype of operators fromC(K). Israel J. Math. 68, 123–128 (1989). https://doi.org/10.1007/BF02764974

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  • DOI: https://doi.org/10.1007/BF02764974

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