On the divergence of series of p-th powers of operator norms
classification
🧮 math.FA
keywords
elementelementsnormsp-thpowersassociateconditionsdivergence
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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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