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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

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

A Distance Formula Related to a Family of Projections Orthogonal to Their Symmetries

Spitkovsky, I., Jan 1 2018, Operator Theory: Advances and Applications. Springer International Publishing, p. 371-376 6 p. (Operator Theory: Advances and Applications; vol. 267).

Research output: Chapter in Book/Report/Conference proceedingChapter

Distance formula
Orthogonal Projection
Symmetry
Involution
Hilbert space

A note on Anderson's theorem in the infinite-dimensional setting

Birbonshi, R., Spitkovsky, I. & Srivastava, P. D., May 1 2018, In : Journal of Mathematical Analysis and Applications. 461, 1, p. 349-353 5 p.

Research output: Contribution to journalArticle

Normal Operator
Numerical Range
Compact Operator
Unit circle
Intersect

A Note on the Factorization of Some Structured Matrix Functions

Spitkovsky, I. & Voronin, A. F., Jun 1 2018, In : Integral Equations and Operator Theory. 90, 3, 39.

Research output: Contribution to journalArticle

Structured Matrices
Matrix Function
Factorization
Complex conjugate
Schur Complement