Kravtsiv, V. V.; Zagorodnyuk, A. Spectra of algebras of block-symmetric analytic functions of bounded type. (English) Zbl 1518.46031 Mat. Stud. 58, No. 1, 69-81 (2022). Reviewer: Verónica Dimant (Victoria) MSC: 46G20 46G25 46J15 PDFBibTeX XMLCite \textit{V. V. Kravtsiv} and \textit{A. Zagorodnyuk}, Mat. Stud. 58, No. 1, 69--81 (2022; Zbl 1518.46031) Full Text: DOI
Vasylyshyn, T. V.; Zagorodnyuk, A. V. Symmetric polynomials on the Cartesian power of the real Banach space \(L_\infty[0,1]\). (English) Zbl 1451.46042 Mat. Stud. 53, No. 2, 192-205 (2020). Reviewer: Elhadj Dahia (Bou Saâda) MSC: 46G25 46E15 46E25 46G20 PDFBibTeX XMLCite \textit{T. V. Vasylyshyn} and \textit{A. V. Zagorodnyuk}, Mat. Stud. 53, No. 2, 192--205 (2020; Zbl 1451.46042) Full Text: DOI
Chernega, Iryna; Holubchak, Oleh; Novosad, Zoryana; Zagorodnyuk, Andriy Continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions on Banach spaces. (English) Zbl 1505.47027 Eur. J. Math. 6, No. 1, 153-163 (2020). Reviewer: José Bonet (Valencia) MSC: 47B33 47A16 46G20 46E25 46J20 PDFBibTeX XMLCite \textit{I. Chernega} et al., Eur. J. Math. 6, No. 1, 153--163 (2020; Zbl 1505.47027) Full Text: DOI
Galindo, Pablo; Vasylyshyn, Taras; Zagorodnyuk, Andriy Analytic structure on the spectrum of the algebra of symmetric analytic functions on \(L_\infty \). (English) Zbl 1472.46051 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 2, Paper No. 56, 13 p. (2020). Reviewer: Mikael Lindström (Åbo) MSC: 46J15 46E50 PDFBibTeX XMLCite \textit{P. Galindo} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 2, Paper No. 56, 13 p. (2020; Zbl 1472.46051) Full Text: DOI
Jawad, F.; Karpenko, H.; Zagorodnyuk, A. Algebras generated by special symmetric polynomials on \(\ell_1\). (English) Zbl 1450.46032 Carpathian Math. Publ. 11, No. 2, 335-344 (2019). MSC: 46G25 46E50 46J15 46J20 PDFBibTeX XMLCite \textit{F. Jawad} et al., Carpathian Math. Publ. 11, No. 2, 335--344 (2019; Zbl 1450.46032) Full Text: DOI
Chernega, I. V.; Zagorodnyuk, A. V. Note on bases in algebras of analytic functions on Banach spaces. (English) Zbl 1432.46035 Carpathian Math. Publ. 11, No. 1, 42-47 (2019). Reviewer: Pablo Galindo (Burjassot) MSC: 46J15 46J20 46E15 46A35 PDFBibTeX XMLCite \textit{I. V. Chernega} and \textit{A. V. Zagorodnyuk}, Carpathian Math. Publ. 11, No. 1, 42--47 (2019; Zbl 1432.46035) Full Text: DOI
Chernega, Iryna; Zagorodnyuk, Andriy Unbounded symmetric analytic functions on \(\ell_1\). (English) Zbl 1388.46034 Math. Scand. 122, No. 1, 84-90 (2018). Reviewer: Richard M. Aron (Kent) MSC: 46G20 46G25 46E25 46J15 46J20 46E15 PDFBibTeX XMLCite \textit{I. Chernega} and \textit{A. Zagorodnyuk}, Math. Scand. 122, No. 1, 84--90 (2018; Zbl 1388.46034) Full Text: DOI Link
Galindo, Pablo; Vasylyshyn, Taras; Zagorodnyuk, Andriy The algebra of symmetric analytic functions on \(L_{\infty}\). (English) Zbl 1377.46035 Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 4, 743-761 (2017). Reviewer: Richard M. Aron (Kent) MSC: 46J15 46J20 46E15 46E25 46G20 PDFBibTeX XMLCite \textit{P. Galindo} et al., Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 4, 743--761 (2017; Zbl 1377.46035) Full Text: DOI
Kravtsiv, V. V.; Zagorodnyuk, A. V. Representation of spectra of algebras of block-symmetric analytic functions of bounded type. (English) Zbl 1382.46038 Carpathian Math. Publ. 8, No. 2, 263-271 (2016). Reviewer: Mikael Lindström (Åbo) MSC: 46J15 46E10 46E50 PDFBibTeX XMLCite \textit{V. V. Kravtsiv} and \textit{A. V. Zagorodnyuk}, Carpathian Math. Publ. 8, No. 2, 263--271 (2016; Zbl 1382.46038) Full Text: DOI
Zagorodnyuk, A. V.; Chernega, I. V. Symmetric analytic functions on \(\ell_1 (A)\). (Ukrainian. English summary) Zbl 1363.46038 Bukovyn. Mat. Zh. 3, No. 3-4, 78-82 (2015). MSC: 46J10 30H50 PDFBibTeX XMLCite \textit{A. V. Zagorodnyuk} and \textit{I. V. Chernega}, Bukovyn. Mat. Zh. 3, No. 3--4, 78--82 (2015; Zbl 1363.46038)
Chernega, Irina; Galindo, Pablo; Zagorodnyuk, Andriy A multiplicative convolution on the spectra of algebras of symmetric analytic functions. (English) Zbl 1321.46054 Rev. Mat. Complut. 27, No. 2, 575-585 (2014). Reviewer: Mikael Lindström (Åbo) MSC: 46J15 46G25 46E15 46G20 PDFBibTeX XMLCite \textit{I. Chernega} et al., Rev. Mat. Complut. 27, No. 2, 575--585 (2014; Zbl 1321.46054) Full Text: DOI
Kravtsiv, V. V.; Mozhyrovska, Z. G.; Zagorodnyuk, A. V. Hypercyclic operators on spaces of block-symmetric analytic functions. (English) Zbl 1391.46062 Carpathian Math. Publ. 5, No. 1, 59-62 (2013). MSC: 46J15 46E10 46E50 47A16 PDFBibTeX XMLCite \textit{V. V. Kravtsiv} et al., Carpathian Math. Publ. 5, No. 1, 59--62 (2013; Zbl 1391.46062) Full Text: DOI
Holubchak, O. M.; Zagorodnyuk, A. V. On bidual bases in the space of symmetric analytic functions on \(\ell_1\). (English) Zbl 1391.46061 Carpathian Math. Publ. 5, No. 1, 47-49 (2013). MSC: 46J15 46J20 46E15 PDFBibTeX XMLCite \textit{O. M. Holubchak} and \textit{A. V. Zagorodnyuk}, Carpathian Math. Publ. 5, No. 1, 47--49 (2013; Zbl 1391.46061) Full Text: DOI
Vasylyshyn, T. V.; Zagorodnyuk, A. V. A question on the spectra of algebras of symmetric functions on \(L_\infty\) related to the moment problem. (English) Zbl 1303.42004 Mat. Stud. 38, No. 2, 216-217 (2012). MSC: 42A70 46E25 46J20 PDFBibTeX XMLCite \textit{T. V. Vasylyshyn} and \textit{A. V. Zagorodnyuk}, Mat. Stud. 38, No. 2, 216--217 (2012; Zbl 1303.42004)
Kravtsiv, V. V.; Zagorodnyuk, A. V. On algebraic bases of algebras of block-symmetric polynomials on Banach spaces. (English) Zbl 1300.46036 Mat. Stud. 37, No. 1, 109-112 (2012). MSC: 46G25 46J10 PDFBibTeX XMLCite \textit{V. V. Kravtsiv} and \textit{A. V. Zagorodnyuk}, Mat. Stud. 37, No. 1, 109--112 (2012; Zbl 1300.46036)
Zagorodnyuk, Andrij; Chernega, Iryna The multiplicative convolution on the spectra of algebras of symmetric analytic functions. (Ukrainian. English summary) Zbl 1265.46073 Mat. Visn. Nauk. Tov. Im. Shevchenka 9, 129-139 (2012). MSC: 46G20 46E50 46J15 PDFBibTeX XMLCite \textit{A. Zagorodnyuk} and \textit{I. Chernega}, Mat. Visn. Nauk. Tov. Im. Shevchenka 9, 129--139 (2012; Zbl 1265.46073)
Chernega, Irina; Galindo, Pablo; Zagorodnyuk, Andriy The convolution operation on the spectra of algebras of symmetric analytic functions. (English) Zbl 1258.46021 J. Math. Anal. Appl. 395, No. 2, 569-577 (2012). Reviewer: Mikael Lindström (Oulu) MSC: 46J15 46E50 46G20 PDFBibTeX XMLCite \textit{I. Chernega} et al., J. Math. Anal. Appl. 395, No. 2, 569--577 (2012; Zbl 1258.46021) Full Text: DOI
Chernega, Iryna; Galindo, Pablo; Zagorodnyuk, Andriy Some algebras of symmetric analytic functions and their spectra. (English) Zbl 1243.46039 Proc. Edinb. Math. Soc., II. Ser. 55, No. 1, 125-142 (2012). Reviewer: Mikael Lindström (Oulu) MSC: 46G20 46J15 46G25 PDFBibTeX XMLCite \textit{I. Chernega} et al., Proc. Edinb. Math. Soc., II. Ser. 55, No. 1, 125--142 (2012; Zbl 1243.46039) Full Text: DOI
Zagorodnyuk, Andrij; Chernega, Iryna The algebra of symmetric analytic functions on polydisk in \(\ell_1\). (Ukrainian. English summary) Zbl 1199.46102 Mat. Visn. Nauk. Tov. Im. Shevchenka 4, 100-106 (2007). MSC: 46G20 46J15 PDFBibTeX XMLCite \textit{A. Zagorodnyuk} and \textit{I. Chernega}, Mat. Visn. Nauk. Tov. Im. Shevchenka 4, 100--106 (2007; Zbl 1199.46102)
Novosad, Zoryana; Zagorodnyuk, Andriy Polynomial automorphisms and hypercyclic operators on spaces of analytic functions. (English) Zbl 1137.47009 Arch. Math. 89, No. 2, 157-166 (2007). Reviewer: Héctor N. Salas (Mayagüez) MSC: 47A16 46E10 46E50 32A38 46G20 47B38 PDFBibTeX XMLCite \textit{Z. Novosad} and \textit{A. Zagorodnyuk}, Arch. Math. 89, No. 2, 157--166 (2007; Zbl 1137.47009) Full Text: DOI
Alencar, Raymundo; Aron, Richard; Galindo, Pablo; Zagorodnyuk, Andriy Algebras of symmetric holomorphic functions on \(\ell_p\). (English) Zbl 1026.46035 Bull. Lond. Math. Soc. 35, No. 1, 55-64 (2003). Reviewer: R.M.Aron (Dublin) MSC: 46J15 46E15 46J20 46E25 46G20 46G25 PDFBibTeX XMLCite \textit{R. Alencar} et al., Bull. Lond. Math. Soc. 35, No. 1, 55--64 (2003; Zbl 1026.46035) Full Text: DOI