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On the isometries of $L^p \left( {\Omega ,X} \right)$


Author: A. R. Sourour
Journal: Bull. Amer. Math. Soc. 83 (1977), 129-130
MSC (1970): Primary 46E40, 46E30, 47B99
DOI: https://doi.org/10.1090/S0002-9904-1977-14213-4
MathSciNet review: 0425604
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References [Enhancements On Off] (What's this?)

  • 1. S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
  • 2. F. F. Bonsall and J. Duncan, Numerical ranges of operators on normed spaces and of elements of normed algebras, London Mathematical Society Lecture Note Series, vol. 2, Cambridge University Press, London-New York, 1971. MR 0288583
  • 3. Michael Cambern, The isometries of 𝐿^{𝑝} (𝑋,𝐾), Pacific J. Math. 55 (1974), 9–17. MR 0370172
  • 4. John Lamperti, On the isometries of certain function-spaces, Pacific J. Math. 8 (1958), 459–466. MR 0105017
  • 5. Gunter Lumer, On the isometries of reflexive Orlicz spaces, Ann. Inst. Fourier (Grenoble) 13 (1963), 99–109. MR 0158259

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Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1977-14213-4