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Ilya Spitkovsky

Professor of Mathematics

    1975 …2019
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    Fingerprint Weighted list of dominant concepts in the researcher's publications (titles and abstracts).

    Matrix Function Mathematics
    Numerical Range Mathematics
    Almost Periodic Mathematics
    Factorization Mathematics
    Toeplitz Operator Mathematics
    Triangular matrix Mathematics
    Singular Integral Operator Mathematics
    Periodic Functions Mathematics

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    Research Output 1975 2019

    A note on the maximal numerical range

    Spitkovsky, I. M., Jan 1 2019, In : Operators and Matrices. 13, 3, p. 601-605 5 p.

    Research output: Contribution to journalArticle

    Open Access
    Numerical Range
    Intersection
    Operator
    If and only if

    Integral operators of the L-convolution type in the case of a reflectionless potential

    Hasanyan, D., Kamalyan, A., Karakhanyan, M. & Spitkovsky, I., Jan 1 2019, Modern Methods in Operator Theory and Harmonic Analysis - OTHA 2018, Revised and Extended Contributions. Karapetyants, A., Kravchenko, V. & Liflyand, E. (eds.). Springer New York LLC, p. 175-197 23 p. (Springer Proceedings in Mathematics and Statistics; vol. 291).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Convolution Operator
    Integral Operator
    Convolution
    Wiener-Hopf Operator
    Regular Operator

    Quantitative results on continuity of the spectral factorization mapping

    Ephremidze, L., Shargorodsky, E. & Spitkovsky, I., Jan 1 2019, (Accepted/In press) In : Journal of the London Mathematical Society.

    Research output: Contribution to journalArticle

    Spectral Factorization
    Matrix Function
    Logarithm
    Positive definite
    Analytic function

    Singularities of base polynomials and Gau–Wu numbers

    Camenga, K. A., Deaett, L., Rault, P. X., Sendova, T., Spitkovsky, I. & Yates, R. B. J., Nov 15 2019, In : Linear Algebra and Its Applications. 581, p. 112-127 16 p.

    Research output: Contribution to journalArticle

    Polynomial Basis
    Polynomials
    Singularity
    Curve
    Irreducible Matrix

    Some inequalities involving positive linear maps under certain conditions

    Kumar, R., Sharma, R. & Spitkovsky, I. M., Jan 1 2019, In : Operators and Matrices. 13, 3, p. 843-854 12 p.

    Research output: Contribution to journalArticle

    Open Access
    Jensen's inequality
    Matrix Algebra
    Linear map
    Convex function
    Demonstrate