Skip to main content
SpringerLink
Log in

Representation theorems of the dual of Lebesgue-Bochner function spaces

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

By representing random conjugate spaces a general representation theorem on classical duals is proved. For application, we unify and improve many known important representation theorems of the dual of Lebesgue-Bochner function spaces.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Diestel, J., Uhl, Jr. J.J., Vector measures, Math. Surveys, 1977, (15): 1.

  2. Dunford, N., Schwartz, J.T., Linear Operators (I), London: Interscience, 1957, 95–372.

    Google Scholar 

  3. Bochner, S., Taylor, A.E., Linear functionals on certain spaces of abstractly valued functions, Ann. Math., 1938. 39: 913.

    Article  MathSciNet  Google Scholar 

  4. Gretsky, N.E., Uhl, Jr.J.J., Bounded linear operators on Banach functions, Trana. Amer. Math. Soc., 1972, 167: 263.

    Article  MATH  MathSciNet  Google Scholar 

  5. Leonard, I.E., Sundaresan, K., Smoothness and duality in Lp(E,μ), J. Math. Anal. Appl., 1974, 46: 513.

    Article  MATH  MathSciNet  Google Scholar 

  6. Bourbaki, N., Integration, Chaps. I/3-V, Paris: Hermann, 1952—1960.

    Google Scholar 

  7. Ionescu Tulcea, A., Ionescu Tulcea, C., On the lifting property (I), J. Math. Anal. Appl., 1961, 3: 537.

    Article  MATH  MathSciNet  Google Scholar 

  8. Ioneacu Tulcea, A., Ionescu Tulcea, C., On the lifting property (II), J. Math. Mech., 1962, ll(5): 773.

    Google Scholar 

  9. Hu Zhibo, Lin Bor-Luh, Extremal structure of the unit ball of Lp(μ, X)*, J. Math. Anal. Appl., 1996, 200: 567.

    Article  MathSciNet  Google Scholar 

  10. Guo Tiexin, The Radon-Nikodym property of conjugate spaces and the ω* -μ-equivalence theorem of ω-μ-measurable functions, Science in China, Ser. A, 1996, 39(10): 1034.

    MATH  MathSciNet  Google Scholar 

  11. Guo Tiexin, A characterization for a random normed module to be random reflexive, J. of Xiamen Univ. (Natural Science Edition) (in Chinese), 1997, 26(4): 499.

    Google Scholar 

  12. Guo Tiexin, Extension theorems of continuous random linear operators on random domains, J. Math. Anal. Appl., 1995, 193(1): 15.

    Article  MATH  MathSciNet  Google Scholar 

  13. Guo Tiexin, Module homomorphisms on random normed modules, Chinese Northeastern Math. J., 1996, 12(1): 102.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Xiamen University, 361005, Xiamen, China

    Tiexin Guo

Authors
  1. Tiexin Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tiexin Guo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guo, T. Representation theorems of the dual of Lebesgue-Bochner function spaces. Sci. China Ser. A-Math. 43, 234–243 (2000). https://doi.org/10.1007/BF02897846

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02897846

Keywords

Search

Navigation