A universal convex set in Euclidean space
It is known that each bounded operator from l → lis compact. The purpose of this paper is to present a very simple proof of this useful fact.
Characterizations of extreme infinite symmetric stochastic matrices with respect to arbitrary non-negative vector r are given.
In the paper the geometric properties of the positive cone and positive part of the unit ball of the space of operator-valued continuous space are discussed. In particular we show that . Moreover we describe exposed, strongly exposed and denting points.
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