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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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.
References
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 297 (1986), 95-103
  • MSC: Primary 46E30; Secondary 46B20
  • DOI: https://doi.org/10.1090/S0002-9947-1986-0849469-6
  • MathSciNet review: 849469