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

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Showing 2003Show all

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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…