V. Kadets

collaborators

3 papers

math.FA2026

Optimality of no-dimensional bounds in Banach spaces

Grigory Ivanov, Vladimir Kadets

We discuss lower-bound constructions for several no-dimensional theorems of combinatorial geometry in Banach spaces. The common mechanism is the Maurey--Pisier theorem: the suprema…

math.FA2026

Weak minimizing property and reflexivity

Vladimir Kadets, Geivison Ribeiro

For an operator T from X to Y denote m(T) the infimum of $∣∣ T x ∣∣$ on the unit sphere $S_{X}$ of X. A sequence $(x_{n})$ in $S_{X}$ is said to be minimizing for T if $∣∣ T x_{n} ∣∣$ tends to m…

math.FA2025

Norms of partial sums operators for a basis with respect to a filter

V. Kadets, M. Manskova

Basis of a Banach space with respect to a filter F on N (F-basis for short) is a generalization of basis, where the ordinary convergence of series is substituted by convergence of…