V. Kadets

activity

19992003

most citedWeak cluster points of a sequence and coverings by cylinders

9 citations · 9 across the 2 of their papers we have counts for

collaborators

4 papers

math.FA2003

Coverings by convex bodies and inscribed balls

Vladimir Kadets

Let $H$ be a Hilbert space. For a closed convex body $A$ denote by $r (A)$ the supremum of radiuses of balls, contained in $A$ . We prove, that $\sum_{n = 1}^{\infty} r (A_{n}) \geq r (A)$ fo…

math.FA2003★ 9 cited

Weak cluster points of a sequence and coverings by cylinders

Vladimir Kadets

Let $H$ be a Hilbert space. Using Ball's solution of the "complex plank problem" we prove that the following properties of a sequence $a_{n} > 0$ are equivalent: (1) There is a sequenc…

math.FA2000

Narrow operators and rich subspaces of Banach spaces with the Daugavet property

Vladimir Kadets, Roman Shvidkoy, Dirk Werner

Let $X$ be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on $X$ which depend only on the norms of images of…

math.FA1999

Some Remarks on Vector-Valued Integration

V Kadets, B. Shumyatskiy, R. Shvidkoy +2

The article presents a new method of integration of functions with values in Banach spaces. This integral and related notions prove to be a useful tool in the study of Banach space…