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arXiv · 1201.1316

On the divergence of series of p-th powers of operator norms

Ivan Feshchenko
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Abstract

Let {A} be a system of operators. With any element x we associate the set of elements {Ax}. We study conditions under which there exists an element x such that the sum of p-th powers of norms of the elements {Ax} is equal to infinity.

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Ivan Feshchenko. 2013-06-07. On the divergence of series of p-th powers of operator norms. https://arxiv.org/abs/1201.1316

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