V. Marchenko

collaborators

2 papers

math.FA2024

Schauder-Orlicz decompositions, $ℓ_{Φ}$ -decompositions and pseudo-Daugavet property

Vitalii Marchenko

The concept of $ℓ_{Φ}$ -decomposition, extending the concept of $ℓ_{p}$ -decomposition of a Banach space, is presented and basic properties of Schauder-Orlicz decompositions and…

math.SP2018

Resolvent of the generator of the $C_{0}$ -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 $C_{0}$ -groups with purely imaginary eigenvalues, clustering at $i \infty$ , and complete minimal no…

Schauder-Orlicz decompositions, ℓΦ​-decompositions and pseudo-Daugavet property

Resolvent of the generator of the C0​-group with non-basis family of eigenvectors and sharpness of the XYZ theorem

Schauder-Orlicz decompositions, $ℓ_{Φ}$ -decompositions and pseudo-Daugavet property

Resolvent of the generator of the $C_{0}$ -group with non-basis family of eigenvectors and sharpness of the XYZ theorem