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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
Eigenvalue