M. Popov

activity

20012022

most citedSome remarks on orthogonally additive operators on Riesz spaces

1 citations · 2 across the 8 of their papers we have counts for

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math.FA2012

Narrow and $ℓ_{2}$ -strictly singular operators from $L_{p}$

V. Mykhaylyuk, M. Popov, B. Randrianantoanina +1

In the first part of the paper we prove that for $2 < p, r < \infty$ every operator $T : L_{p} \to ℓ_{r}$ is narrow. This completes the list of sequence and function Lebesgue spaces…

math.FA2012

On Enflo and narrow operators acting on $L_{p}$

V. Mykhaylyuk, M. Popov, B. Randrianantoanina

The first part of the paper is inspired by a theorem of H. Rosenthal, that if an operator on $L_{1} [0, 1]$ satisfies the assumption that for each measurable set $A \subseteq [0, 1]$ th…

Narrow and ℓ2​-strictly singular operators from Lp​

On Enflo and narrow operators acting on Lp​

Narrow and $ℓ_{2}$ -strictly singular operators from $L_{p}$

On Enflo and narrow operators acting on $L_{p}$