Dmytryshyn Marian

Marian Dmytryshyn is Professor, was born in 1973, graduated from the Vasyl Stefanik Precarpatian University in 1995, specialty “Mathematics”. He studied in graduate school at the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine (Lviv). In 1999 he defended his PhD thesis on “Vectors of exponential type of operators with discrete spectrum on Banach spaces”. In 2020 he defended his doctoral thesis on “Approximation spaces associated with entire exponential type vectors”. Since 2020 he is Professor.

He provides teaching of courses: Higher mathematics, Models of economic dynamics, Modeling of microeconomic processes, Modeling by methods of neural networks, Functional analysis.

Research interests: Operator theory, Spectral approximations, Interpolation theory, Elliptic differential operators.

E-mail: marian.dmytryshyn@pnu.edu.ua

1. Dmytryshyn L.I., Dmytryshyn M.I., Olejnik A. Model of money income diffusion in the European integration context. Mathematical Modeling and Computing. 2023, 10 (2), 583-592. doi: 10.23939/mmc2023.02.583.
2. Dmytryshyn M.I., Dmytryshyn L.I. Bernstein-Jackson-type inequalities with exact constants in Orlicz spaces. Carpathian Math. Publ. 2022, 14 (2), 364-370. doi: 10.15330/cmp.14.2.364-370.
3. Dmytryshyn M. Approximation by interpolation spectral subspaces of operators with discrete spectrum. Mat. Stud. 2021, 55(2), 162-170. doi:10.30970/ms.55.2.162-170.
4. Dmytryshyn M. Approximation of positive operators by analytic vectors. Carpathian Math. Publ. 2020, 12(2), 412-418. doi:10.15330/cmp.12.2.412-418.
5. Dmytryshyn M., Lopushansky O. Spectral approximations of strongly degenerate elliptic differential operators. Carpathian Math. Publ. 2019, 11(1), 48-53. doi:10.15330/cmp.11.1.48-53.
6. Dmytryshyn M., Lopushansky O. On Spectral Approximations of Unbounded Operators. Complex Anal. Oper. Theory. 2019, 13(8), 3659-3673. doi: 10.1007/s11785-019-00923-0.
7. Dmytryshyn M. Approximation by exponential type vectors of positive operators. Journal of Pure and Applied Mathematics. 2017, 112(4), 795-804. doi: 10.12732/ijpma.v112i4.10.
8. Dmytryshyn M.I. Tensor Products of Approximation Spaces Associated with Regular Elliptic Operators. Journal of Mathematical Sciences. 2015, 208(3), 355-365. doi:10.1007/s10958-015-2451-0
9. Dmytryshyn M. Besov-Lorentz-type spaces and best approximations by exponential type vectors. Journal of Math. Analysis. 2015, 9(16), 779-786. doi: 10.12988/ijma.2015.5233.
10. Dmytryshyn M. Interpolated scales of approximation spaces for regular elliptic operators on compact manifolds. Carpathian Math. Publ. 2014, 6(1), 26-31. doi:10.15330/cmp.6.1.26-31.
11. Dmytryshyn M. Approximation spaces associated with Legendre differential operators. Journal of Math. Analysis. 2014, 8(22), 1075-1082. doi: 10.12988/ijma.2014.44114.
12. Dmytryshyn M. Tensor products of exponential type vectors of unbounded operators. Journal of Math. Analysis. 2014, 8(11), 529-538. doi: 10.12988/ijma.2014.4233.
13. Dmytryshyn M., Lopushansky O. Bernstein-Jackson-type inequalities and Besov spaces associated with unbounded operators. Journal of Inequalities and Applications. 2014, 2014:105. doi: 10.1186/1029-242X-2014-105.
14. Dmytryshyn M., Lopushansky O. Interpolated subspaces of exponential type vectors of the unbounded operators in Banach spaces. Demonstratio Mathematica. 2004, 37(1),149-158. doi: 1515/dema-2004-0116.
15. Dmytryshyn M.I. Ultrasmooth vectors of singular elliptic differential operators. Journal of Mathematical Sciences. 2001, 107(1), 3558-3561. doi: 1023/A:1011981921225.
16. Dmytryshyn M., Lopushansky O. Operator calculus on the exponential type vectors of the operator with point spectrum. In: Banakh T. (Ed.) General topology in Banach spaces, Nova Sci. Publ. Huntington, New York. 2001, 137-145.

EDUCATION

Student, Faculty of Physico-Mathematical, Vasyl Stefanyk Precarpathian University, Ivano-Frankivsk, Ukraine, 1990–1995

Post-graduate Studies, Department of Functional Analysis, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Lviv, Ukraine, 1995–1998

PhD Degree in Mathematics and Physics, Specialty Mathematical Analysis, Lviv State University, Lviv, Ukraine, 1999

Title of PhD thesis: Vectors of exponential type of operators with discrete spectrum on Banach spaces

PhD advisor: Prof. Dr. Oleh Lopushansky

DSc Degree in Mathematics and Physics, Specialty Mathematical Analysis, Ivan Franko National University of Lviv, Lviv, Ukraine, 2020

Title of DSc thesis: Approximation spaces associated with entire exponential type vectors

MOST RECENT POSITION HELD

University or Company: Vasyl Stefanyk Precarpathian National University

Position Title: Professor (Full) of Department of Differential Equations and Applied Mathematics

Dates: 10/2020 –

Position Title: Professor (Associate) of Department of Economic Cybernetics

Dates: 09/2002 – 10/2020

University or Company: Ternopil National Economic University

Position Title: Professor (Associate) of Department of Automated Systems and Programming

Dates: 03/2000 – 09/2002

University or Company: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

Position Title: Researcher of Department of Functional Analysis

Dates: 12/1998 – 03/2000