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Multidimensional extensions of the Grothendieck inequality and applications

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Arkiv för Matematik

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References

  1. Blei, R. C., On Fourier Stieltjes transforms of discrete measures,Math. Scand. 35 (1974), 211–214.

    MathSciNet  Google Scholar 

  2. Blei, R. C., Sidon partitions andp-Sidon sets,Pacific J. of Math., Vol.65, No. 2 (1976), 307–313.

    MATH  MathSciNet  Google Scholar 

  3. Blei, R. C., A uniformity property for ∧(2) sets and Grothendieck's inequalitySymposia Math., Vol. XXII (1977) 321–336.

    MathSciNet  Google Scholar 

  4. Davie, A. M., Quotient algebras of uniform algebras, J. London Math. Soc.7 (1973), 31–40.

    Article  MATH  MathSciNet  Google Scholar 

  5. Dixon, P. G., The Von Neumann inequality for polynomials of degree greater than two,J. London Math. Soc. 14 (1976), 369–375.

    Article  MATH  MathSciNet  Google Scholar 

  6. Dvoretsky, A., Some results on convex bodies and Banach spaces,proc. Symp. on Linear Spaces, Jerusalem, 1961.

  7. Sz-Nagy, B. andFoias, C.,Harmonic Analysis of Operators on Hilbert spaces, North-Holland, 1970.

  8. Grothendieck, A., Résumé de la théorie métrique des produits tensoriels topologique,Bol. Soc. Matem. Sao Paulo 8 (1956), 1–97.

    MathSciNet  Google Scholar 

  9. Lindenstrauss, J. andPelczynski, A., Absolutely summing operators inL p -spaces and their applications,Studia Math. 29 (1968), 75–326.

    MathSciNet  Google Scholar 

  10. Rudin, W.,Fourier Analysis on Groups, Intersicence, New York, 1967.

    Google Scholar 

  11. Stein, E.,Singular Integrals and Differentiability Properties of Functions, Princeton University Press, New York, 1970.

    MATH  Google Scholar 

  12. Varopoulos, N. Th., Sur une inégalité de Von Neumann,C. R. Acad. Sci. Paris 277 (1973), 19–22.

    MATH  MathSciNet  Google Scholar 

  13. Varopoulos, N. Th., On an inequality of Von Neumann and an application of the metric theory of tensor products to operator theory,J. of Functional Analysis 16 (1974), 83–100.

    Article  MATH  MathSciNet  Google Scholar 

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Author was supported partially by NSF Grant MCS 76-07 135, and enjoyed also the hospitality and financial support of the Department of Mathematics at Uppsala University.

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Blei, R.C. Multidimensional extensions of the Grothendieck inequality and applications. Ark. Mat. 17, 51–68 (1979). https://doi.org/10.1007/BF02385457

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