dr hab. Michał Wojtylak, prof. UJ

Jednostki:

  • Wydział Matematyki i Informatyki UJ
  • Instytut Matematyki
  • Katedra Analizy Funkcjonalnej

Doktorat  Otwarcie: 2005-06-23, Zamknięcie: 2007-09-27

Habilitacja  Otwarcie: 2016-05-19, Zamknięcie: 2016-12-22

Publikacje:

31.
Michał Wojtylak, Oskar Jakub Szymański
Stability of matrix polynomials in one and several variables, Linear Algebra and Its Applications vol. 670 (2023), 42-67
30.
Michał Wojtylak, Christian Mehl, Volker Mehrmann
Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts, SIAM Journal on Matrix Analysis and Applications vol. 43 (2022), 1186-1212
29.
Michał Wojtylak, Andre Ran
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II , Complex Analysis and Operator Theory vol. 16 (2022), 16:91
28.
Patryk Pagacz, Michał Wojtylak
Random perturbations of matrix polynomials, Journal of Theoretical Probability vol. 35 (2022), 52-88
27.
Franciszek Hugon Szafraniec, Michał Wojtylak
The complex moment problem of Dirichlet type, Integral Transforms and Special Functions vol. 32 (2021), 620-631
26.
Christian Mehl, Volker Mehrmann, Michał Wojtylak
Distance problems for dissipative Hamiltonian systems and related matrix polynomials, Linear Algebra and Its Applications vol. 623 (2021), 335-366
25.
Andre Ran, Michał Wojtylak
Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices, Complex Analysis and Operator Theory vol. 15 (2021), article no. 44
24.
Patryk Pagacz, Paweł Pietrzycki, Michał Wojtylak
Between the von Neumann inequality and the Crouzeix conjecture, Linear Algebra and Its Applications vol. 605 (2020), 130-157
23.
Thomas Berger, Hannes Gernandt, Carsten Trunk, Henrik Winkler, Michał Wojtylak
The gap distance to the set of singular matrix pencils, Linear Algebra and Its Applications vol. 564 (2019), 28-57
22.
Christian Mehl, Volker Mehrmann, Michał Wojtylak
Linear algebra properties of dissipative Hamiltonian descriptor systems,, SIAM Journal on Matrix Analysis and Applications vol. 39 (2018), 1489-1519
21.
Luca Perotti, Michał Wojtylak
Matrix methods for Pad e approximation: numerical calculation of poles, zeros and residues, Linear Algebra and Its Applications vol. 548 (2018), 95-122
20.
Christian Mehl, Volker Mehrmann, Michał Wojtylak
Parameter Dependent Rank-One Perturbations of Singular Hermitian or Symmetric Pencils, SIAM Journal on Matrix Analysis and Applications vol. 38 (2017), 72-95
19.
Anna Kula, Michał Wojtylak, Janusz Wysoczański
Rank two perturbations of matrices and operators and operator model for t-transformation of measures, Journal of Functional Analysis vol. 272 (2017), 1147-1181
18.
Franciszek Hugon Szafraniec, Michał Wojtylak
The Sobolev moment problem and Jordan dilations, Journal of Mathematical Analysis and Applications vol. 444 (2016), 1675-1689
17.
Franciszek Hugon Szafraniec, Michał Wojtylak
The Sobolev moment problem and Jordan dilations, Journal of Mathematical Analysis and Applications vol. 444 (2016), 1675-1689
16.
Maxim Derevyagin, Luca Perotti, Michał Wojtylak
Truncations of a class of pseudo-Hermitian tridiagonal matrices, Journal of Mathematical Analysis and Applications vol. 438 (2016), 738-758
15.
Christian Mehl, Volker Mehrmann, Michał Wojtylak
On the distance to singularity via low rank perturbations, Operators and Matrices vol. 9 (2015), 733-772
14.
Michał Wojtylak
Global and local behavior of zeros of nonpositive type, Journal of Mathematical Analysis and Applications vol. 414 (2014), 273-284
13.
Patryk Pagacz, Michał Wojtylak
On the spectral properties of a class of H-selfadjoint random matrices and the underlying combinatorics, Electronic Communications in Probability vol. 19 (2014), 14
12.
Michał Wojtylak
On a class of H –selfadjont random matrices with one eigenvalue of nonpositive type, Electronic Communications in Probability vol. 17 (2012), 1-14
11.
Michał Wojtylak, A.C.M.Ran
Eigenvalues of rank one perturbations of unstructured matrices, Linear Algebra and Its Applications vol. 437 (2012), 589-600
10.
Michał Wojtylak
On determining the domain of the adjoint operator, Journal of Mathematical Analysis and Applications (2012), 224-233
9.
Michał Wojtylak, F.Philipp,A.C.M.Ran
Local Definitizability of T^[*]T and TT^[*], Integral Equations and Operator Theory vol. 71 (2011), 491-508
8.
Michał Wojtylak, H.S.V.deSnoo,H.Winkler
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square, Journal of Mathematical Analysis and Applications (2011), 399-417
7.
Michał Wojtylak
Domination and commutativity in Pontryagin spaces, Journal of Operator Theory vol. 65 (2011), 115-129
6.
Franciszek Hugon Szafraniec, Michał Wojtylak
Pontryagin space structure in reproducing kernel Hilbert spaces over *-semigroups, Positivity (2011), 161-174
5.
Michał Wojtylak, A.C.M.Ran
The pair of operators $T^{[*]}T$ and $TT^{[*]}$; J-dilations and canonical forms, Integral Equations and Operator Theory (2010), 313-335
4.
Michał Wojtylak, A.C.M.Ran
Analysis of spectral points of the operators $T^{[*]} T$ and $TT^{[*]} $ in a Krein space, Integral Equations and Operator Theory (2009), 263-280
3.
Michał Wojtylak
A criterion for selfadjointness in Krein spaces, Bulletin of the London Mathematical Society (2008), 807-816
2.
Michał Wojtylak
Noncommuting Domination in Krein Spaces Via Commutators of Block Operator Matrices, Integral Equations and Operator Theory (2007), 129-147
1.
Michał Wojtylak
Algebras dense in $L^2$ spaces: an operator approach, Glasgow Mathematical Journal (2005), 155-165

Konferencje:

8.
Włodzimierz Zwonek, Michał Wojtylak.
IWOTA 2021 Lancaster, Lancaster University, Lancaster (online), UK (online), 2021-08-16 - 2021-08-20
7.
Michał Wojtylak.
SIAM Conference on Applied Linear Algebra (LA21), SIAM, (online), (online), 2021-05-17 - 2021-05-21
6.
Michał Wojtylak.
GAMM 2020/21, Uni Kassel, Kassel, Niemcy, 2021-03-15 - 2021-03-19
5.
Jan Stochel, Zenon Jabłoński, Michał Wojtylak.
17th Workshop: Noncommutative Probability Levy processes and operator algebras, with applications, Uniwersytet Wrocławski, Będlewo, Polska, 2016-07-24 - 2016-07-30
4.
Michał Wojtylak.
The 20th ILAS Conference, 2016, KU Leuven, Leuven, Belgia, 2016-07-11 - 2016-07-15
3.
Jan Stochel, Zenon Jabłoński, Piotr Niemiec, Michał Wojtylak, Paweł Pietrzycki.
5th Summer Workshop on Operator Theory, University of Agriculture in Krakow, Kraków, Polska, 2016-07-05 - 2016-07-09
2.
Marek Kosiek, Jan Stochel, Zenon Jabłoński, Piotr Niemiec, Michał Wojtylak, Patryk Pagacz, Paweł Pietrzycki.
Spectral Theory and Applications, AGH, Kraków, Polska, 2015-05-26 - 2015-05-30
1.
Michał Wojtylak.
86th GAMM Annual Scientific Conference, GAMM, Lecce, Włochy, 2015-03-23 - 2015-03-27

Konferencje organizowane:

Granty (realizowane po maju 2009 roku)

TytułRolaRozpoczęcieZakończenie
Analiza spektralna macierzy i jej zastosowaniaKierownik2012-04-022015-04-01
Wielomiany macierzowe jednej i wielu zmiennychKierownik2021-06-302022-06-30
Port Hamiltonian systems and functional calculusKierownik2019-04-152019-05-15
KartezjuszKierownik2017-10-012022-09-30

Nagrody

RokRodzajRodzaj uhonorowanej działalnościTyp 
2012nagrodadziałalność naukowa lub naukowo-badawczazagranicznaSzczegóły