Banach spaces embedding isometrically into 𝐿_{𝑝} when 0<𝑝<1

Kalton, N.; Koldobsky, A.

doi:10.1090/S0002-9939-03-07169-7

Banach spaces embedding isometrically into $L_p$ when $0<p<1$
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by N. J. Kalton and A. Koldobsky PDF

Proc. Amer. Math. Soc. 132 (2004), 67-76 Request permission

Abstract:

For $0<p<1$ we give examples of Banach spaces isometrically embedding into $L_p$ but not into any $L_r$ with $p<r\le 1.$

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