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The interpolation of quadratic norms

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Acta Mathematica

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References

  1. Aronszajn, N., Associated spaces, interpolation theorems and the regularity of solutions of differential problems.Proceeding of Symposia in Pure Mathematics, American Mathematical Society. Providence (1961), 23–32.

    Google Scholar 

  2. Aronszajn, N. &Donoghue, W. F., On the exponential representation of functions.J. Analyse Math., 5 (1956–7), 321–388.

    Article  Google Scholar 

  3. Aronszajn, N. &Gagliardo, E., Interpolation spaces and interpolation methods.Ann. Mat. Pura Appl. (IV) 68 (1965), 51–118.

    Article  MATH  MathSciNet  Google Scholar 

  4. Bendat, J. &Sherman, S., Monotone and convex operator functions.Trans. Amer. Math. Soc., 79 (1955), 58–71.

    Article  MATH  MathSciNet  Google Scholar 

  5. Donoghue, W. F., On the theorems of Loewner and Pick.Israel J. Math., 4 (1966), 153–170.

    MATH  MathSciNet  Google Scholar 

  6. Foias, C. &Lions, J. L., Sur certains théorèmes d'interpolation.Acta Sci. Math. (Szeged), 22 (1961), 269–282.

    MATH  MathSciNet  Google Scholar 

  7. Krauss, F., Über konvexe Matrixfunktionen.Math. Z., 41 (1936), 18–42.

    Article  MathSciNet  Google Scholar 

  8. Lions, J. L., Espaces intermédiaires entre espaces hilbertiens.Bull. Math. Soc. Sci. Math. Phys. R. P. Roumanie, 50 (1959), 419–432.

    Google Scholar 

  9. Löwner, K., Über monotone Matrixfunktionen.Math. Z., 38 (1934), 177–216.

    Article  MATH  MathSciNet  Google Scholar 

  10. Nagy, B. Sz.,Spektraldarstellung linearer Transformationen des Hilbertschen Raumes. Berlin, (1942).

  11. Peetre, J.,Interpolation av Banach-rum. Lecture Notes. Lund, (1963).

  12. Stein, E. &Weiss, G., Interpolation of operators with change of measures.Trans. Amer. Math. Soc., 87 (1958), 159–172.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. The University of California, Irvine, California, U.S.A.

    William F. Donoghue Jr.

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  1. William F. Donoghue Jr.
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In Memory-R. E, Fullerton 1916–1963

This paper was written while the author was a Temporary Member of the Courant Institute of Mathematical Sciences, New York University. This temporary membership is supported by the National Science Foundation, under grant number NSF-GP-1669.

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Donoghue, W.F. The interpolation of quadratic norms. Acta Math. 118, 251–270 (1967). https://doi.org/10.1007/BF02392483

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  • DOI: https://doi.org/10.1007/BF02392483

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