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Integral operators of trace class

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References

  1. S. Bernstein: Sur la convergence absolue des séries trigonométriques, C.R. Acad. Sci. Paris158 (1914), 1661–1664.

    Google Scholar 

  2. M.S. Birman and M.Z. Solomjak: Estimates for the singular numbers of integral operators (Russian), Uspeki. Mat. Nauk32 (1) (1977), 17–84.

    Google Scholar 

  3. I. Fredholm: Sur une classe d'équations fonctionelles, Acta Math.27 (1903), 365–390.

    Google Scholar 

  4. W.B. Johnson, H. König, B. Maurey and J.R. Retherford: Eigenvalues ofp-summing andl p -type operators in Banach spaces, J. Funct. Anal.32 (1979), 353–380.

    Google Scholar 

  5. W.P. Kamp, R.A. Lorentz and P.A. Rejto: On a theorem of Stinespring concerning integral operators of trace class, J. reine angew. Math.393 (1989), 1–20.

    Google Scholar 

  6. G.E. Karadzov: The inclusion of integral operators in the classesS q , for 0<q<2 (Russian), Serdica3 (1977), 52–70.

    Google Scholar 

  7. H. König: Eigenvalue distribution of compact operators, 1986 Basel.

  8. A. Pietsch: Operator Ideals, 1978 Berlin.

  9. A. Pietsch: Approximation spaces, J. Approximation Theory32 (1982), 115–134.

    Google Scholar 

  10. A. Pietsch: Eigenvalues of integral operators II, Math. Ann.262 (1983), 343–376.

    Google Scholar 

  11. A. Pietsch: Eigenvalues and s-Numbers, 1987 Leipzig.

  12. H.-J. Schmeißer: Vector-valued Sobolev and Besov spaces, Seminar Analysis of the Karl-Weierstrass-Institut 1985/86, 4–44, 1987 Leipzig.

  13. H.-J. Schmeißer and H. Triebel: Topics in Fourier Analysis and Function Spaces, 1987 Leipzig.

  14. S.B. Stechkin: On the absolute convergence of orthogonal series (Russian), Doklady Akad. Nauk SSSR102 (1955), 37–40.

    Google Scholar 

  15. W.F. Stinespring: A sufficient condition for integral operators to have a trace, J. reine angew. Math.200 (1958), 200–207.

    Google Scholar 

  16. O. Sźasz: On the absolute convergence of trigonometric series, Ann. of Math. (2)47 (1946), 213–220.

    Google Scholar 

  17. H. Triebel: Spaces of Kudrjavcev type, part I and II, Math. Anal. Appl.56 (1976), 253–277 and 278–287.

    Google Scholar 

  18. H. Triebel: Interpolation theory, function spaces, diffrential operators, 1978 Berlin.

  19. H. Weyl: Inequalities between two kinds of eigenvalues of linear transformation, Acad. Sci. USA35 (1949), 408–411.

    Google Scholar 

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  1. Mathematische Fakultät der Friedrich-Schiller-Universität, O-6900, Jena, Germany

    Rainer Linde

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  1. Rainer Linde
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Linde, R. Integral operators of trace class. Integr equ oper theory 17, 95–106 (1993). https://doi.org/10.1007/BF01322548

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