Vasylyshyn Taras

 Professor

 

Curriculum VitaeMain publicationsContacts

PERSONAL INFORMATION

Taras V. Vasylyshyn Ph.D., D.Sci. degree
Date of birth: July, 27 1989
Address: Department of Mathematics and Computer Sciences, Precarpathian National
University, 57 Shevchenka str., Ivano-Frankivsk, Ukraine, 76018
Phone (office): +38-0342-59-60-50
E-mail address: taras.vasylyshyn@pnu.edu.ua
ORCID ID: https://orcid.org/0000-0001-9055-6341
SCOPUS Author ID: https://www.scopus.com/authid/detail.uri?authorId=57194429512
Web of Science Researcher ID: https://www.webofscience.com/wos/author/record/15903470

EDUCATION

Vasyl Stefanyk Precarpathian National University, Dept. of Mathematics, 2006-2011 (Mr)

Yuriy Fedkovych Chernivtsi National University, Dept. of Physics, 2006-2011 (Mr)

Ph.D. in Mathematics and Physics, Vasyl Stefanyk Precarpathian National University,
Ivano-Frankivsk, Ukraine, 2013.

Title of Ph.D. thesis: Homomorphisms and ideals in algebras of differentiable functions on Banach spaces.
Ph.D. advisor: Andriy Zagorodnyuk

D.Sci. in Mathematics and Physics, Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine, 2021.

Title of D.Sci. thesis: Analysis on spectra of algebras of analytic and smooth functions on a Banach space.

MOST RECENT POSITION HELD

University or Company: Vasyl Stefanyk Precarpathian National University
Position Title: Professor of Department of Mathematical and Functional Analysis
Dates: 09/2021 – till now
Position Title: Associate Professor of Department of Mathematical and Functional Analysis
Dates: 09/2013 – 08/2021

TEACHING EXPERIENCE

  • Functional Analysis. Vasyl Stefanyk Precarpathian National University 2013-2022.
  • Calculus. Vasyl Stefanyk Precarpathian National University 2014-2019.
  • Machine Learning. Vasyl Stefanyk Precarpathian National University 2021-2022.
  1. Vasylyshyn, T. Symmetric analytic functions on the Cartesian power of the complex Banach space of Lebesgue measurable essentially bounded functions on [0,1] (2022) Journal of Mathematical Analysis and Applications, 509 (2), art. no. 125977. DOI: 10.1016/j.jmaa.2021.125977
  2. Chopyuk, Y., Vasylyshyn, T., Zagorodnyuk, A. Rings of Multisets and Integer Multinumbers (2022) Mathematics, 10 (5), art. no. 778. DOI: 10.3390/math10050778
  3. Bandura, A., Kravtsiv, V., Vasylyshyn, T. Algebraic Basis of the Algebra of All Symmetric Continuous Polynomials on the Cartesian Product of ℓp-Spaces (2022) Axioms, 11 (2), art. no. 41. DOI: 10.3390/axioms11020041
  4. Martsinkiv, M.V., Vasylyshyn, S.I., Vasylyshyn, T.V., Zagorodnyuk, A.V. Lipschitz symmetric functions on Banach spaces with symmetric bases (2021) Carpathian Mathematical Publications, 13 (3), pp. 727-733. DOI: 10.15330/cmp.13.3.727-733
  5. Vasylyshyn, T.V. Algebras of symmetric analytic functions on cartesian powers of lebesgue integrable in a power p ∈ [1, +∞) functions (2021) Carpathian Mathematical Publications, 13 (2), pp. 340-351. DOI: 10.15330/CMP.13.2.340-351
  6. Vasylyshyn, Т.V., Strutinskii, М.М. Algebras of Symmetric *-Polynomials in the Space ℂ2 (2021) Journal of Mathematical Sciences (United States), 253 (1), pp. 40-53. DOI: 10.1007/s10958-021-05211-x
  7. Vasylyshyn, T.V. Symmetric functions on spaces ℓp(Rn) and ℓp(cn) (2020) Carpathian Mathematical Publications, 12 (1), pp. 5-16. DOI: 10.15330/CMP.12.1.5-16
  8. Vasylyshyn, T.V. Algebras of Entire Symmetric Functions on Spaces of Lebesgue-Measurable Essentially Bounded Functions (2020) Journal of Mathematical Sciences (United States), 246 (2), pp. 264-276. DOI: 10.1007/s10958-020-04736-x
  9. Galindo, P., Vasylyshyn, T., Zagorodnyuk, A. Analytic structure on the spectrum of the algebra of symmetric analytic functions on L∞ (2020) Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales – Serie A: Matematicas, 114 (2), art. no. 56, . DOI: 10.1007/s13398-020-00791-w
  10. Vasylyshyn, T. Symmetric polynomials on [InlineEquation not available: see fulltext.] (2020) European Journal of Mathematics, 6 (1), pp. 164-178. DOI: 10.1007/s40879-018-0268-3
  11. Vasylyshyn, T.V., Zagorodnyuk, A.V. Symmetric polynomials on the cartesian power of the real banach space L∞[0;1] (2020) Matematychni Studii, 53 (2), pp. 192-205. DOI: 10.30970/ms.53.2.192-205
  12. Vasylyshyn, T.V. Point-evaluation functionals on algebras of symmetric functions on (L∞)2 (2019) Carpathian Mathematical Publications, 11 (2), pp. 493-501. DOI: 10.15330/cmp.11.2.493-501
  13. Vasylyshyn, T.V. The algebra of symmetric polynomials on (L∞)n (2019) Matematychni Studii, 52 (1), pp. 71-85. DOI: 10.30970/ms.52.1.71-85
  14. Galindo, P., Vasylyshyn, T., Zagorodnyuk, A. Symmetric and finitely symmetric polynomials on the spaces ℓ∞ and L∞[0,+∞) (2018) Mathematische Nachrichten, 291 (11-12), pp. 1712-1726. DOI: 10.1002/mana.201700314
  15. Vasylyshyn, T.V., Zagorodnyuk, A.V. Continuous symmetric 3-homogeneous polynomials on spaces of Lebesgue measurable essentially bounded functions (2018) Methods of Functional Analysis and Topology, 24 (4), pp. 381-398.
  16. Vasylyshyn, T.V. Symmetric polynomials on the cartesian power of Lp on the semi-axis (2018) Matematychni Studii, 50 (1), pp. 93-104. DOI: 10.15330/ms.50.1.93-104
  17. Galindo, P., Vasylyshyn, T., Zagorodnyuk, A. The algebra of symmetric analytic functions on Lâž (2017) Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 147 (4), pp. 743-761. DOI: 10.1017/S0308210516000287
  18. Kravtsiv, V., Vasylyshyn, T., Zagorodnyuk, A. On Algebraic Basis of the Algebra of Symmetric Polynomials on ℓ(C) (2017) Journal of Function Spaces, 2017, art. no. 4947925, . DOI: 10.1155/2017/4947925

 

Postal Address
Department of Mathematical and Functional Analysis
Precarpathian National University
57, Shevchenka str., Ivano-Frankivsk
76018 Ukraine
E-mail
taras.vasylyshyn@pnu.edu.ua
Phones
+38-0342-59-60-50