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Journals / Turkish Journal of Mathematics / 1998 / Cilt: 22 - Sayı: 3

The dual of the Bochner space $L^p(mu,E)$ for arbitrary $mu$

B. CENGİZ
Pages
343–348
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Let $mu$ be a finite measure, E a Banach space, and $lleq p

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Objective & Hypothesis:Let $mu$ be a finite measure, E a Banach space, and $lleq p
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Key Findings & Data:Let $mu$ be a finite measure, E a Banach space, and $lleq p
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Conclusion & Impact:Let $mu$ be a finite measure, E a Banach space, and $lleq p
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let $mu$ be a finite measure, E a Banach space, and $lleq p

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Cite This Article

CENGİZ, B. (2022). The dual of the Bochner space $L^p(mu,E)$ for arbitrary $mu$. Turkish Journal of Mathematics, Cilt: 22 - Sayı: 3, 343–348. https://ajindex.com/articles/608982

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References (5)

  1. S. Bochner and R. E. Taylor, Linear functionals on certain spaces of abstractly-valuedfunctions, Ann. of Math. (2), 39 (1938), 913-944
  2. M. Cambern and P. Greim, The dual of a space of vector measures, Math. Z., 180 (1982),373-378
  3. B. Cengiz, On the duals of Lebesgue-BochnerLpspaces, Proc. Amer. Math. Soc., 114(1992), 923-926.[4] J. Diestel and J. Uhl. Jr., Vector Measures, Mathematical Surveys no. 15, Amer. Math.Soc., Providence, R. I., 1977
  4. N. E. gretsky and J. J. Uhl. Jr., Bounded linear operators on Banach function spaces ofvector-valued functions, Trans. Amer. Math. Soc. 167 (1972), 263-277
  5. E. Hewitt and K. Stromberg, Real and Abstract analysis, Springer-Verlag, New York, 1965.