Skip to main content
SpringerLink
Log in

On p-convexity and q-concavity of unitary matrix spaces

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

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

References

  1. Ch. A. Akemann, J. Anderson and G. K. Pedersen, Triangle inequalities in operator algebras, linear and Multilinear Algebra, 11 (1982), 167–178.

    Google Scholar 

  2. J. Arazy, Some remarks on interpolation theorems and the boundness of the triangular projection in unitary matrix spaces. Integral Equations and Operator Theory, 1 (1978), 453–495.

    Google Scholar 

  3. J. Arazy, On the geometry of the unit ball of unitary matrix spaces, Integral Equations and Operator Theory, 4 (1981), 151–171.

    Google Scholar 

  4. J. Arazy, Basic sequences, embeddings, and the uniqueness of the symmetric structure in unitary matrix spaces, J. Funct. Anal. 40 (1981), 302–340.

    Google Scholar 

  5. J. Arazy and M. Cwikel, A new characterization of the interpolation spaces between Lp and Lq to appear in Math. Scand.

  6. J. Berg and J. Löfström, Interpolation spaces, An introduction, Springer Verlag, 1976.

  7. W. Donogue, Monotone matrix functions and analytic continuation, Springer Verlag, 1974.

  8. D. J. H. Garling and N. Tomczak-Jaegermann, The Cotype and Uniform Convexity of Unitary Ideals, Israel J. Math., 45 (1983), 175–197.

    Google Scholar 

  9. I. C. Gogberg and M. G. Krein, Introduction to the theory of linear nonselfadjoint operators, A. M. S. Translations, Vol. 18.

  10. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, Sequence Spaces, Springer Verlag, 1977.

  11. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces II, Function Spaces; Springer Verlag, 1979.

  12. G. G. Lorentz and T. Shimogaki, Interpolation theorems for the pairs of spaces (Lp, L∞) and (L1, Lq), Transactions of the A.M.S. 159 (1971), 207–221.

    Google Scholar 

  13. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications, Academic Press, 1979.

  14. Ch. A. McCarty, Cp, Israel J. Math. 5 (1967), 249–271.

    Google Scholar 

  15. G. Schechtman, Personal communication.

  16. N. Tomczak-Jaegermann, Uniform convexity of unitary ideals, Israel J. Math., 48 (1984), 249–254.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Haifa, 31999, Haifa, Israel

    Jonathan Arazy

  2. Department of Mathematics, University of Iowa, 52242, Iowa City, Iowa

    Pei-Kee Lin

Authors
  1. Jonathan Arazy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pei-Kee Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by NSF grant number MCS-7901771.

The contribution of this author is a part of his Ph.D. thesis, written at the Ohio State University under the supervision of Professors W.J. Davis and D.R. Lewis.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arazy, J., Lin, PK. On p-convexity and q-concavity of unitary matrix spaces. Integr equ oper theory 8, 295–313 (1985). https://doi.org/10.1007/BF01202902

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01202902

Keywords

Search

Navigation