arXiv:1208.1863·math.FA·August 10, 2012
On the divergence of series of the form \sum_{k=1}^\infty\|A_k x\|^p
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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Taxonomy
TopicsHolomorphic and Operator Theory · Differential Equations and Boundary Problems · Matrix Theory and Algorithms