Vasylyshyn Taras

Associate Professor

 

Curriculum VitaeMain publicationsContacts

PERSONAL INFORMATION

Taras V. Vasylyshyn Ph.D. 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
Current institutional affiliation: Associate Professor of Department of Mathematical and
Functional Analysis of Vasyl Stefanyk Precarpathian National University.

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

MOST RECENT POSITION HELD

University or Company: Vasyl Stefanyk Precarpathian National University
Position Title: Associate Professor of Department of Mathematical and Functional Analysis
Dates: 09/2013 —

TEACHING EXPERIENCE

  • Functional Analysis. Vasyl Stefanyk Precarpathian National University 2013-2021.
  • Calculus. Vasyl Stefanyk Precarpathian National University 2014-2019.
  1.  Galindo P., Vasylyshyn T., Zagorodnyuk A. The algebra of symmetric analytic functions on L∞ // Proceedings of the Royal Society of Edinburgh: Section A Mathematics — 2017. — Vol. 147, Iss. 4. — P. 743–761.
  2. Galindo P., Vasylyshyn T., Zagorodnyuk A. Symmetric and finitely symmetricpolynomials on the spaces ℓ∞ and L∞[0, +∞) // Mathematische Nachrichten. — 2018.— Vol. 291, Iss. 11–12. — P. 1712–1726.
  3.  Galindo P., Vasylyshyn T., Zagorodnyuk A. Analytic structure on the spectrum ofthe algebra of symmetric analytic functions on L∞ // RACSAM — 2020. — Vol. 114,Article number 56.
  4.  Kravtsiv V., Vasylyshyn T., Zagorodnyuk A. On algebraic basis of the algebra ofsymmetric polynomials on ℓp(Cn) // Journal of Function Spaces — 2017. — Vol. 2017.— Article ID 4947925, 8 p.
  5.  Vasylyshyn T. V. Symmetric continuous linear functionals on complex spaceL∞[0, 1] // Carpathian Math. Publ. — 2014. — Vol. 6, No. 1. — P. 8–10.
  6.  Vasylyshyn T. V. Continuous block-symmetric polynomials of degree at most two on the space (L∞)2 // Carpathian Math. Publ. — 2016. — Vol. 8, No. 1. — P. 38–43.
  7. Vasylyshyn T. V. Extensions of multilinear mappings to powers of linear spaces // Carpathian Math. Publ. — 2016. — Vol. 8, No. 2. — P. 211–214.
  8.  Vasylyshyn T. V. Some properties of shift operators on algebras generated by ∗-polynomials // Carpathian Math. Publ. — 2018. — Vol. 10, No. 1. — P. 206–212.
  9.  Vasylyshyn T. V. Symmetric ∗-polynomials on Cn // Carpathian Math. Publ. — Vol. 10, No. 2. — P. 395–401.
  10.  Vasylyshyn T. V. Point-evaluation functionals on algebras of symmetric functionson (L∞)2 // Carpathian Math. Publ. — 2019. — Vol. 11, No. 2. — P. 493–501.
  11.  Vasylyshyn T. V. Symmetric functions on spaces ℓp(Rn) and ℓp(Cn) // CarpathianMath. Publ. — 2020. — Vol. 12, No. 1. — P. 5–16.
  12.  Vasylyshyn T. Symmetric polynomials on (Lp)n // Eur. J. Math. — 2020. —Vol. 6, Iss. 1. — P. 164–178.
  13.  Vasylyshyn T. V. Symmetric polynomials on the Cartesian power of Lp on the semi-axis // Mat. Stud. — 2018. — Vol. 50, Iss. 1. — P. 93–104.
  14.  Vasylyshyn T. V. The algebra of symmetric polynomials on (L∞)n // Mat. Stud. — 2019. — Vol. 52, Iss. 1. — P. 71–85.
  15.  Vasylyshyn T. Symmetric polynomials on the space of bounded integrable functions on the semi-axis // International Journal of Pure and Applied Mathematics —2017. — Vol. 117, Iss. 3. — P. 425–430.
  16. Vasylyshyn T. Algebras of entire symmetric functions on spaces of Lebesguemeasurable essentially bounded functions // J. Math. Sci. — 2020. — Vol. 246. — P. 264–276.
  17.  Vasylyshyn T. V., Zagorodnyuk A. V. Continuous symmetric 3-homogeneous polynomials on spaces of Lebesgue measurable essentially bounded functions // Methods of Functional Analysis and Topology — 2018. — Vol. 24, Iss. 4. — P. 381–398.
  18.  Vasylyshyn T. V., Zagorodnyuk A. V. Symmetric polynomials on the Cartesian power of the real Banach space L∞[0, 1] // Mat. Stud. — 2020. — Vol. 53, 2. — 192–205.

 

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