Edit Profile (opens in new tab) Marchenko, Vitalii Co-Author Distance Author ID: marchenko.vitalii Published as: Marchenko, Vitalii; Marchenko, Vitaliy Documents Indexed: 9 Publications since 2009, including 1 Additional arXiv Preprint Co-Authors: 3 Co-Authors with 5 Joint Publications 62 Co-Co-Authors Co-Authors 4 single-authored 4 Sklyar, Grigory Mikhailovitch 2 Polak, Piotr 1 Rogers, Robert F. all top 5 Serials 2 Journal of Functional Analysis 1 Bulletin of the Australian Mathematical Society 1 Proceedings of the American Mathematical Society 1 Central European Journal of Mathematics 1 Journal of Mathematical Physics, Analysis, Geometry 1 Computational & Mathematical Methods in Medicine 1 Journal of Spectral Theory Fields 7 Functional analysis (46-XX) 7 Operator theory (47-XX) 3 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 6 Publications have been cited 15 times in 6 Documents Cited by ▼ Year ▼ Isomorphic Schauder decompositions in certain Banach spaces. Zbl 1308.47011 Marchenko, Vitalii 4 2014 Hardy inequality and the construction of infinitesimal operators with non-basis family of eigenvectors. Zbl 1359.47042 Sklyar, Grigory M.; Marchenko, Vitalii 4 2017 Stability of unconditional Schauder decompositions in \(\ell_p\) spaces. Zbl 1352.46013 Marchenko, Vitalii 3 2015 Stability of Riesz bases. Zbl 1403.46014 Marchenko, Vitalii 2 2018 Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem. Zbl 1487.47073 Sklyar, Grigory M.; Marchenko, Vitalii 1 2021 Sharp polynomial bounds for certain \(C_0\)-groups generated by operators with non-basis family of eigenvectors. Zbl 07306995 Sklyar, Grigory M.; Marchenko, Vitalii; Polak, Piotr 1 2021 Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem. Zbl 1487.47073 Sklyar, Grigory M.; Marchenko, Vitalii 1 2021 Sharp polynomial bounds for certain \(C_0\)-groups generated by operators with non-basis family of eigenvectors. Zbl 07306995 Sklyar, Grigory M.; Marchenko, Vitalii; Polak, Piotr 1 2021 Stability of Riesz bases. Zbl 1403.46014 Marchenko, Vitalii 2 2018 Hardy inequality and the construction of infinitesimal operators with non-basis family of eigenvectors. Zbl 1359.47042 Sklyar, Grigory M.; Marchenko, Vitalii 4 2017 Stability of unconditional Schauder decompositions in \(\ell_p\) spaces. Zbl 1352.46013 Marchenko, Vitalii 3 2015 Isomorphic Schauder decompositions in certain Banach spaces. Zbl 1308.47011 Marchenko, Vitalii 4 2014 all cited Publications top 5 cited Publications all top 5 Cited by 6 Authors 4 Marchenko, Vitalii 4 Sklyar, Grigory Mikhailovitch 3 Polak, Piotr 1 Bachir, Mohammed 1 Fabre, Adrien 1 Tapia-García, Sebastián Cited in 5 Serials 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Journal of Mathematical Physics, Analysis, Geometry 1 Journal of Spectral Theory 1 Advances in Operator Theory Cited in 5 Fields 6 Operator theory (47-XX) 4 Functional analysis (46-XX) 3 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year