A. V. Zagorodnyuk

orcid.org/0000-0002-5554-4342
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Articles: 3

Hypercyclic composition operators on Hilbert spaces of analytic functions

Z. H. Mozhyrovska, A. V. Zagorodnyuk

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 20 (2014), no. 3, 284-291

In the paper we consider composition operators on Hilbert spaces of analytic functions of infinitely many variables. In particular, we establish some conditions under which composition operators are hypercyclic and construct some examples of Hilbert spaces of analytic functions which do not admit hypercyclic operators of composition with linear operators.

Polarization formula for $(p,q)$-polynomials on a complex normed space

T. V. Vasylyshyn, A. V. Zagorodnyuk

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 17 (2011), no. 1, 75-83

The aim of this paper to give some analogues of polarization formulas and the polarization inequality for $(p,q)$-polynomials between complex normed spaces. Obtained results are useful for investigation of real-differentiable mappings on complex spaces.

A Hilbert space of functions of infinitely many variables

O. V. Lopushansky, A. V. Zagorodnyuk

Methods Funct. Anal. Topology 10 (2004), no. 2, 13-20


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