1 citations · 1 across the 3 of their papers we have counts for
4 papers
Schauder-Orlicz decompositions, -decompositions and pseudo-Daugavet property
Vitalii Marchenko
The concept of -decomposition, extending the concept of -decomposition of a Banach space, is presented and basic properties of Schauder-Orlicz decompositions and…
Resolvent of the generator of the -group with non-basis family of eigenvectors and sharpness of the XYZ theorem
Grigory M. Sklyar, Vitalii Marchenko
The paper presents an explicit form of the resolvent for the class of generators of -groups with purely imaginary eigenvalues, clustering at , and complete minimal no…
Hardy inequality and the construction of infinitesimal operators with non-basis family of eigenvectors
Grigory M. Sklyar, Vitalii Marchenko
Some special Hilbert spaces are introduced to present the class of infinitesimal operators with complete minimal non-basis family of eigenvectors. The discrete Hardy inequality pla…
Isomorphic Schauder decompositions in certain Banach spaces
Vitalii Marchenko
We extend a theorem of Kato on similarity for sequences of projections in Hilbert spaces to the case of isomorphic Schauder decompositions in certain Banach spaces. To this end we…