Isometries on 𝐿_{𝑝,1}

Carothers, N. L.; Turett, B.

doi:10.1090/S0002-9947-1986-0849469-6

Isometries on $L_ {p,1}$
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by N. L. Carothers and B. Turett PDF

Trans. Amer. Math. Soc. 297 (1986), 95-103 Request permission

Abstract:

The extreme points of the sphere of the Lorentz function space ${L_{p,1}}[0,1]$ are computed. As an application, the linear isometries from ${L_{p,1}}$ into itself are completely described.

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