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Journals / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 1

On norm-preserving isomorphisms of Lp(µ, H)

M GÜRDAL
B A GÜNTÜRK
B CENGİZ
Pages
33–41
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

In this article we give a new proof for the characterization theoremof the surjective linear isometries of the space Lp(µ, H) (for 1

📌 3 Key Takeaways

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Objective & Hypothesis:Given an arbitrary positive measure space (X,A, µ) and a Hilbert spaceH.
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Key Findings & Data:Given an arbitrary positive measure space (X,A, µ) and a Hilbert spaceH.
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Conclusion & Impact:In this article we give a new proof for the characterization theoremof the surjective linear isometries of the space Lp(µ, H) (for 1
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Given an arbitrary positive measure space (X,A, µ) and a Hilbert spaceH. In this article we give a new proof for the characterization theoremof the surjective linear isometries of the space Lp(µ, H) (for 1

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Cite This Article

GÜRDAL, M., GÜNTÜRK, B. A., CENGİZ, B. (2022). On norm-preserving isomorphisms of Lp(µ, H). Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 1, 33–41. https://ajindex.com/articles/530025

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References (13)

  1. Banach, S. Th?eoriedes opération linéaires, Monografje Matematyczne Warsaw, 1932.
  2. Behrends, E.et al, Lpstructure in real Banach spaces, Lecture notes in Mathematics, 613, Springer-Verlag, 1977.
  3. Cambern, M., The isometries of Lp(X, K), Pacific J. Math., 55, 9-17, 1974.
  4. Cengiz, B., On the duals of Lebesgue-Bochner Lpspaces, Proc. Amer. Math. Soc., 114, 926, 1992.
  5. Cengiz, B., The isometries of the Bochner space Lp(µ, H), Turk J. Math., 23, 389-399,
  6. Diestel, J. and Uhl, J. Jr., Vector Measures, Math. Surveys Monogr. No.15, Amer. Math. Soc., Providence, RI, 1977.
  7. Doob, J.L., Stochastic Processes, Wiley and Sons, New York, 1953.
  8. Greim, P., Hilbert Spaces have the Banach Stone for Bochner spaces, Bull. Austral. Math Soc, 27, 121-128, 1983
  9. Greim, P. And Jamison, J.E., Hilbert spaces have the strong Banach-Stone property for Bochner spaces, Math. Z., 196(4), 511-515, 1987.
  10. Hewitt, E. and Karl Stromberg, 1965,
  11. Real and Abstract Analysis, Springer- Verlag, New- York. Lamperti, J., On the isometries of certain function spaces, Pacific J. Math., 8, 459-466,
  12. Lacey, H. E., The Isometric Theory of Classical Banach Spaces, Berlin- Heidelberg, New- York, 1974.
  13. Sourour, A.R., The isometries of Lp(?, X), J. Funct. Anal., 30, 276-285, 1978.