I. Spitkovsky

发表

The numerical range of 3 × 3 matrices

L. Rodman, D. Keeler, I. Spitkovsky, 1997 .

The possible shapes of numerical ranges

J. Helton, I. Spitkovsky, 2011, 1104.4587.

Continuity of the maximum-entropy inference: Convex geometry and numerical ranges approach

L. Rodman, A. Szkola, S. Weis, 2015, 1502.02018.

Signatures of quantum phase transitions from the boundary of the numerical range

S. Weis, I. Spitkovsky, 2017, Journal of Mathematical Physics.

Rajendra Bhatia and his mathematical achievements

T. Andô, Chandler Davis, Tanvi Jain, 2020, Advances in Operator Theory.

Factorization of Matrices with Symmetries over Function Algebras

L. Rodman, I. Spitkovsky, 2014 .

Projective free algebras of continuous functions on compact abelian groups

L. Rodman, I. Spitkovsky, A. Brudnyi, 2010 .

A gentle guide to the basics of two projections theory

A. Böttcher, I. Spitkovsky, 2010 .

The ratio field of values

Charles R. Johnson, I. Spitkovsky, E. Einstein, 2011 .

An Overview of Matrix Factorization Theory and Operator Applications

M. A. Kaashoek, I. Gohberg, I. Spitkovsky, 2003 .

Special Types of Matrices

A. Böttcher, I. Spitkovsky, 2013 .

Abstract Band Method Via Factorization, Positive and Band Extensions of Multivariable Almost Periodic Matrix Functions, and Spectral Estimation

Leiba Rodman, Hugo J. Woerdeman, Ilya M. Spitkovsky, 2002 .

Noncanonical Factorizations of Almost Periodic Multivariable Matrix Functions

L. Rodman, H. Woerdeman, I. Spitkovsky, 2003 .

On non-optimal spectral factorizations

I. Selesnick, I. Spitkovsky, L. Ephremidze, 2016, 1609.02058.

Semi-Fredholm Properties of Certain Singular Integral Operators

Y. Karlovich, I. Spitkovsky, 1996 .

Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols

L. Rodman, H. Woerdeman, I. Spitkovsky, 2001 .

Similarity Between Two Projections

B. Simon, A. Böttcher, I. Spitkovsky, 2017, Integral Equations and Operator Theory.

Kernels of Asymmetric Toeplitz Operators and Applications to Almost Periodic Factorization

Y. Karlovich, I. Spitkovsky, M. Câmara, 2013 .

A remark on a polynomial matrix factorization theorem

I. Spitkovsky, L. Ephremidze, 2012 .

Factorization, Riemann-Hilbert problems and the corona problem

Y. Karlovich, I. Spitkovsky, M. Câmara, 2011, 1103.1935.

On a new algorithm for almost periodic factorization

Y. Karlovich, I. Spitkovsky, M. A. Bastos, 1998 .

On convolution equations with semi-almost periodic symbols on a finite interval

I. Spitkovsky, A. B. Kuijper, 1993 .

Factorization of Matrices with Symmetries over Function Algebras

L. Rodman, I. Spitkovsky, 2014, Integral Equations and Operator Theory.

Inequalities involving the numerical radius

Charles R. Johnson, S. Gottlieb, I. Spitkovsky, 1994 .

On the characterization of 2×2ρ-contraction matrices

I. Spitkovsky, K. Okubo, 2001 .

On Generalized Numerical Ranges of Quadratic Operators

L. Rodman, I. Spitkovsky, 2006, math/0602318.

POSITIVE EIGENVALUES AND TWO-LETTER GENERALIZED WORDS ∗

Charles R. Johnson, C. Hillar, I. Spitkovsky, 2005, math/0504573.

On normal solvability of the Riemann problem with singular coefficient

M. Rakowski, I. Spitkovsky, 1997 .

Kernels of Asymmetric Toeplitz Operators and Applications to Almost Periodic Factorization

Y. Karlovich, I. Spitkovsky, M. Câmara, 2011, Complex Analysis and Operator Theory.

Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight

A. Böttcher, Y. Karlovich, I. Spitkovsky, 1994 .

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

I. Spitkovsky, 2017, 1703.07983.

Similarity Between Two Projections

A. Böttcher, I. Spitkovsky, B. Simon, 2017, Integral Equations and Operator Theory.

Drazin inversion in the von Neumann algebra generated by two orthogonal projections

A. Böttcher, I. Spitkovsky, 2009 .

CARATHEODORY-TOEPLITZ AND NEHARI PROBLEMS FOR MATRIX VALUED ALMOST PERIODIC FUNCTIONS

L. Rodman, H. Woerdeman, I. Spitkovsky, 1998 .

BLOCK TOEPLITZ OPERATORS WITH FREQUENCY- MODULATED SEMI-ALMOST PERIODIC SYMBOLS

A. Böttcher, S. Grudsky, I. Spitkovsky, 2003 .

Toeplitz operators with frequency modulated semi-almost periodic symbols

A. Böttcher, S. Grudsky, I. Spitkovsky, 2001 .

Toeplitz Operators with Semi-Almost-Periodic Matrix Symbols on Hardy Spaces

A. Böttcher, Y. Karlovich, I. Spitkovsky, 2000 .

Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions

L. Rodman, J. Ball, Y. Karlovich, 1998 .

I Integral Equations and Operator Theory

L. Rodman, J. Ball, I. Spitkovsky, 1997 .

Contractive extension problems for matrix valued almost periodic functions of several variables

L. Rodman, H. Woerdeman, I. Spitkovsky, 2002 .

On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces

I. Spitkovsky, A. Karlovich, 2011, 1105.0407.

Spectral Factorization, Unstable Canonical Factorization, and Open Factorization Problems in Control Theory

Kalle M. Mikkola, I. Spitkovsky, 2008 .

On an Interesting Class of Variable Exponents

I. Spitkovsky, A. Karlovich, 2011, 1110.0299.

Pseudodifferential Operators on Variable Lebesgue Spaces

I. Spitkovsky, A. Karlovich, 2011, 1110.0297.

The Cauchy Singular Integral Operator on Weighted Variable Lebesgue Spaces

I. Spitkovsky, A. Karlovich, 2012, 1202.2226.

Singular integral operators with PC symbols on the spaces with general weights

I. Spitkovsky, 1992 .

On the Kernel and Cokernel of Some Toeplitz Operators

I. Spitkovsky, T. Ehrhardt, 2013 .

Local Spectra and Index of Singular Integral Operators with Piecewise Continuous Coefficients on Composed Curves

A. Böttcher, Y. Karlovich, C. Bishop, 1999 .

Pseudodifferential operators with heavy spectrum

A. Böttcher, I. Spitkovsky, 1994 .

Boundary Value Problems for Functions Analytic on Multiply Connected Domains on Spaces with a General Weight

Y. Latushkin, I. Spitkovsky, D. Kurtz, 1994 .

Toeplitz Operators with PQC Symbols on Weighted Hardy Spaces

A. Böttcher, I. Spitkovsky, 1991 .

Matrices with normal defect one

H. Woerdeman, I. Spitkovsky, D. Kaliuzhnyi-Verbovetskyi, 2009, 0903.0090.

Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band

L. Rodman, H. Woerdeman, M. Bakonyi, 1999 .

Robert Sheckley’s Answerer for two orthogonal projections

A. Boettcher, I. Spitkovsky, 2017, 1711.11024.

Banach Algebras Generated by N Idempotents and Applications

I. Gohberg, A. Böttcher, B. Silbermann, 1996 .

Finite Reflection Groups and Linear Preserver Problems

Chi-Kwong Li, I. Spitkovsky, N. Zobin, 2004 .

Birkhoff's theorem and convex hulls of Coxeter groups

Nicholas McCarthy, Ilya M. Spitkovsky, Nahum Zobin, 2002 .

Once more on algebras generated by two projections

I. Spitkovsky, 1994 .

Reinvigorating the Wiener-Hopf technique in the pursuit of understanding processes and materials

Xin Huang, Gennady Mishuris, I D Abrahams, 2020, National science review.

On explicit Wiener–Hopf factorization of 2 × 2 matrices in a vicinity of a given matrix

I. Spitkovsky, L. Ephremidze, 2020, Proceedings of the Royal Society A.

On the generalization of the Janashia–Lagvilava method for arbitrary fields

I. Spitkovsky, L. Ephremidze, 2022, Georgian Mathematical Journal.

On the Algorithmization of Janashia-Lagvilava Matrix Spectral Factorization Method

Faisal Saied, Lasha Ephremidze, Ilya Matvey Spitkovsky, 2016, IEEE Transactions on Information Theory.

On the Partial Indices of Triangular Matrix Functions with Prescribed Indices of Their Diagonal Entries

I. Spitkovsky, A. Kamalyan, K. V. Harutyunyan, 2018 .

Random Generator of Orthogonal Matrices in Finite Fields

I. Spitkovsky, L. Ephremidze, 2023, ArXiv.

On multivariable matrix spectral factorization method

Ilya M. Spitkovsky, Lasha Ephremidze, I. Spitkovsky, 2021, Journal of Mathematical Analysis and Applications.

A Note on the Factorization of Some Structured Matrix Functions

A. F. Voronin, I. Spitkovsky, 2018, Integral Equations and Operator Theory.

Factorization of piecewise constant matrix functions and systems of linear differential equations

I. Spitkovsky, T. Ehrhardt, 1999, math/9909016.

On some reciprocal matrices with elliptical components of their Kippenhahn curves

I. Spitkovsky, Muyan Jiang, 2021, Special Matrices.

On Kippenhahn curves and higher-rank numerical ranges of some matrices

Ilya M. Spitkovsky, Nat'alia Bebiano, Jo'ao da Provid'encia, 2021, 2104.07893.

On the numerical range of some block matrices with scalar diagonal blocks

I. Spitkovsky, Titas Geryba, 2019, Linear and Multilinear Algebra.

Singularities of base polynomials and Gau–Wu numbers

Kristin A. Camenga, Patrick X. Rault, Louis Deaett, 2019, Linear Algebra and its Applications.

Numerical Ranges of 4-by-4 Nilpotent Matrices: Flat Portions on the Boundary

I. Spitkovsky, M. Tsai, Linda Patton, 2015, 1511.08916.

The product field of values

Charles R. Johnson, I. Spitkovsky, Brian Lins, 2013 .

On Numerical Ranges of Rank-Two Operators

L. Rodman, I. Spitkovsky, 2013 .

On Numerical Ranges of Rank-Two Operators

L. Rodman, I. Spitkovsky, 2013, Integral Equations and Operator Theory.

Operator theory: Advances and applications

M. A. Kaashoek, K. Davidson, V. Paulsen, 1991 .

Quantitative results on continuity of the spectral factorization mapping in the scalar case

E. Shargorodsky, I. Spitkovsky, L. Ephremidze, 2016, Boletín de la Sociedad Matemática Mexicana.

Quantitative results on continuity of the spectral factorization mapping in the scalar case

E. Shargorodsky, I. Spitkovsky, L. Ephremidze, 2016, Journal of the London Mathematical Society.

Constructive factorization of some almost periodic triangular matrix functions with a quadrinomial off diagonal entry

Y. Karlovich, I. Spitkovsky, Ant'onio Bravo, 2011 .

Constructive almost periodic factorization of some triangular matrix functions

Y. Karlovich, I. Spitkovsky, M. Câmara, 2010 .

Almost periodic polynomial factorization of some triangular matrix functions

Y. Karlovich, I. Spitkovsky, 2010 .

New views of the doubly stochastic single eigenvalue problem

I. Spitkovsky, C. Johnson, Stephen Newman, 2022, Linear and Multilinear Algebra.

The Gau-Wang-Wu conjecture on partial isometries holds in the 5-by-5 case

Elias Wegert, Ilya M. Spitkovsky, Ibrahim Suleiman, 2021, The Electronic Journal of Linear Algebra.

On partial isometries with circular numerical range

Elias Wegert, Ilya Spitkovsky, E. Wegert, 2021, Concrete Operators.

Nonparallel flat portions on the boundaries of numerical ranges of 4-by-4 nilpotent matrices

Ilya M. Spitkovsky, Mackenzie Cox, Weston M. Grewe, 2020, The Electronic Journal of Linear Algebra.

Kippenhahn curves of some tridiagonal matrices.

Jo'ao da Provid'encia, N. Bebiano, I. Spitkovsky, 2020, 2011.00849.

On some 4-by-4 matrices with bi-elliptical numerical ranges

I. Spitkovsky, Titas Geryba, 2020, 2009.00272.

Elliptical higher rank numerical range of some Toeplitz matrices

Maria Adam, I. Spitkovsky, Aikaterini Aretaki, 2018, Linear Algebra and its Applications.

The normalized numerical range and the Davis–Wielandt shell

I. Spitkovsky, Brian Lins, Siyu Zhong, 2017, Linear Algebra and its Applications.

Pre-images of extreme points of the numerical range, and applications

S. Weis, I. Spitkovsky, 2015, 1509.05676.

On the Gau–Wu number for some classes of matrices☆

Kristin A. Camenga, Patrick X. Rault, T. Sendova, 2014 .

The distribution of eigenvalues of doubly cyclic Z+-matrices☆

Charles R. Johnson, I. Spitkovsky, Z. Price, 2013 .

Numerical range of some doubly stochastic matrices

Ilya M. Spitkovsky, Kristin A. Camenga, Patrick X. Rault, 2013, Appl. Math. Comput..

Continuity properties of vectors realizing points in the classical field of values

Charles R. Johnson, I. Spitkovsky, Brian Lins, 2013, 1307.5033.

Numerical ranges of Toeplitz operators with matrix symbols

N. Bebiano, I. Spitkovsky, 2012 .

Numerical ranges of cube roots of the identity

David Renfrew, I. Spitkovsky, T. Harris, 2011 .

Numerical ranges of companion matrices: flat portions on the boundary

L. Rodman, I. Spitkovsky, J. Eldred, 2011, 1107.3070.

Spectral dominance and commuting chains

Charles R. Johnson, I. Spitkovsky, B. T. Hoai, 2008 .

Sets of matrices with given joint numerical range

I. Spitkovsky, N. Krupnik, 2006 .

On flat portions on the boundary of the numerical range

E. S. Brown, I. Spitkovsky, 2004 .

On Matrices with Elliptical Numerical Ranges

I. Spitkovsky, Ethan S. Brown *, 2004 .

On the Fredholm Indices of Associated Systems of Wiener-Hopf Equations

A. Böttcher, S. Grudsky, I. Spitkovsky, 2000 .

Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils

Chi-Kwong Li, I. Spitkovsky, Sudheer Shukla, 1998 .

Pre-images of Boundary Points of the Numerical Range

I. Spitkovsky, Timothy Leake, Brian Lins, 2014 .

3-BY-3 MATRICES WITH ELLIPTICAL NUMERICAL RANGE REVISITED

Patrick X. Rault, T. Sendova, I. Spitkovsky, 2013 .

On eigenvalues and boundary curvature of the numerical range

I. Spitkovsky, N. Zobin, Lauren Caston, 2001 .

Factorization of Operators with Angularly Constrained Spectra

Charles R. Johnson, I. Spitkovsky, 1993 .

On a generalization of Smirnov’s theorem with some applications

I. Spitkovsky, L. Ephremidze, 2018, Georgian Mathematical Journal.

Bounding Comparative Statics under Diagonal Dominance

I. Spitkovsky, Jordan J. Norris, Charles Johnson, 2023 .

Multiblock problems for almost periodic matrix functions of several variables

L. Rodman, H. Woerdeman, I. Spitkovsky, 2001 .

(Semi)-Fredholmness of Convolution Operators on the Spaces of Bessel Potentials

Y. Karlovich, I. Spitkovsky, 1994 .

Non-denseness of factorable matrix functions

L. Rodman, I. Spitkovsky, A. Brudnyi, 2011, 1103.0336.

On numerical ranges and roots

Chi-Kwong Li, L. Rodman, I. Spitkovsky, 2003 .

Inverse continuity of the numerical range map for Hilbert space operators

I. Spitkovsky, Brian Lins, 2018, Operators and Matrices.

CONVEX HULLS OF COXETER GROUPS

I. Spitkovsky, N. Zobin, Brian Lins, 2003 .

Group inversion in certain finite-dimensional algebras generated by two idempotents

A. Böttcher, I. Spitkovsky, 2012 .

On common invariant cones for families of matrices

Leiba Rodman, Hakan Seyalioglu, Ilya M. Spitkovsky, 2009, 0903.0444.

Connectedness of Spectra of Toeplitz Operators on Hardy Spaces with Muckenhoupt Weights Over Carleson Curves

I. Spitkovsky, A. Karlovich, 2009 .