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3 results

  • EIGENVALUES OF POSITIVE INTEGRAL OPERATORS WITH LAPLACE TRANSFORM-TYPE KERNELS

  • YÜKSEL SOYKAN, GRAHAM LITTLE
  • Journal:
    Glasgow Mathematical Journal / Volume 52 / Issue 2 / May 2010
    Published online by Cambridge University Press:
    29 March 2010, pp. 333-348
    Print publication:
    May 2010
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  • The aim of this paper is to prove a theorem concerning asymptotic estimates of eigenvalues of certain positive integral operators with Laplace transform-type kernels.

  • ASYMPTOTIC BEHAVIOUR OF EIGENVALUES OF CERTAIN POSITIVE INTEGRAL OPERATORS

  • YÜKSEL SOYKAN
  • Journal:
    Glasgow Mathematical Journal / Volume 51 / Issue 1 / January 2009
    Published online by Cambridge University Press:
    01 January 2009, pp. 149-159
    Print publication:
    January 2009
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  • In this paper, we prove a theorem concerning asymptotic estimates of the eigenvalues of certain positive integral operators with Laplace transform type kernels.

  • Co-Rank of a Composition Operator

  • David J. Harrington
  • Journal:
    Canadian Mathematical Bulletin / Volume 29 / Issue 1 / 01 March 1986
    Published online by Cambridge University Press:
    20 November 2018, pp. 33-36
    Print publication:
    01 March 1986
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  • A composition operator CT on L2(X, Σ,m) is a bounded linear transformation induced by a mapping T : X → X via CTf = f∘ T.

    If m has no atoms then the co-rank of CT (i.e., dim is either zero or infinite. As a corollary, when m has no atoms, CT is a Fredholm operator iff it is invertible.