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Dergiler / 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
Sayfa
33–41
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:Given an arbitrary positive measure space (X,A, µ) and a Hilbert spaceH.
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Temel Bulgular & Veri:Given an arbitrary positive measure space (X,A, µ) and a Hilbert spaceH.
💡
Sonuç & Katkı:In this article we give a new proof for the characterization theoremof the surjective linear isometries of the space Lp(µ, H) (for 1
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (13)

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  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.