61 citations · 398 across the 51 of their papers we have counts for
56 papers
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…
Weak minimizing property and reflexivity
Vladimir Kadets, Geivison Ribeiro
For an operator T from X to Y denote m(T) the infimum of on the unit sphere of X. A sequence in is said to be minimizing for T if tends to m…
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…
Strong Law of Large Numbers for Random Sets in Banach spaces
V. Kadets, O. Zavarzina
The Strong Law of Large Numbers (SLLN) for random variables or random vectors with different mathematical expectations easily reduces by means of shifts to SLLN for random variable…
Generating operators between Banach spaces
Vladimir Kadets, Miguel Martin, Javier Meri +1
We introduce and study the notion of generating operators as those norm-one operators such that for every , the set $\{x\in X\colon \|x\|\leq 1,…
Plastic pairs of metric spaces
Vladimir Kadets, Olesia Zavarzina
We address pairs of metric spaces with the following property: for every mapping the existence of points with implies the…