[Banach] Abstract of a paper by Ivan Feshchenko

This is an announcement for the paper "On the divergence of series of the form sum_{k=1}^infty||A_k x||^p" by Ivan Feshchenko.

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.

Archive classification: math.FA

Mathematics Subject Classification: 40H05, 46B20, 47A05

Remarks: 9 pages, submitted to Studia Mathematica

Submitted from: ivanmath007@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1208.1863

or

http://arXiv.org/abs/1208.1863