V. Marchenko

activity

20132024

most citedResolvent of the generator of the

C_{0}

-group with non-basis family of eigenvectors and sharpness of the XYZ theorem

1 citations · 1 across the 3 of their papers we have counts for

collaborators

Showing math.FAShow all

2 papers · 1 filter

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.FA2013

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…

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

Isomorphic Schauder decompositions in certain Banach spaces

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