Skip to main content
Log in

On Some Expressions for the Riesz Angles of Orlicz Sequence Spaces

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

We obtain some expressions for the Riesz angles of Orlicz sequence spaces endowed with the Luxemburg and Orlicz norms and show some practical ways of computation.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Borwein J. M. and Sims B., “Non-expansive mappings on Banach lattices and related topics,” Houston J. Math., 10, 339–356 (1984).

    Google Scholar 

  2. Benavides T. D. and Rodriguez R. J., “Some geometric coefficients in Orlicz sequence spaces,” Nonlinear Anal. Theory Methods Appl., 20, No. 4, 349–358 (1993).

    Google Scholar 

  3. Chen S. T., Geometry of Orlicz Spaces, Dissertationes Mathematicae, Warszawa (1996).

  4. Cui Y. and Hudzik H., “On the García-Falset coefficient in Orlicz sequence spaces equipped with the Orlicz norm,” in: Function Spaces and Applications, Narosa Publishing House, New Delhi, India, 2000, pp. 60–68.

    Google Scholar 

  5. Simonenko I. B., “Interpolation and extrapolation of linear operators in Orlicz spaces,” Mat. Sb., 63, 536–553 (1964).

    Google Scholar 

  6. Semënov E. M., “A new interpolation theorem,” Funktsional. Anal. i Prilozhen., 2, 158–169 (1968).

    Google Scholar 

  7. Lindenstrauss J. and Tzafriri L., Classical Banach Spaces. Vol. 1 and 2, Springer-Verlag, Berlin; Heidelberg; New York (1977; 1979).

    Google Scholar 

  8. Rao M. M. and Ren Z. D., “Packing in Orlicz sequence spaces,” Studia Math., 126, 235–251 (1997).

    Google Scholar 

  9. Yan Y. Q., “Some results on packing in Orlicz sequence spaces,” Studia Math., 147, 73–88 (2001).

    Google Scholar 

  10. Yan Y. Q., “On a pair of geometric parameters of Orlicz norm,” Ann. Soc. Math. Polon. Ser. I Comment. Math., 41, 257–263 (2001).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yan, Y. On Some Expressions for the Riesz Angles of Orlicz Sequence Spaces. Siberian Mathematical Journal 44, 739–747 (2003). https://doi.org/10.1023/A:1024701010695

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024701010695

Navigation