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On series whose rearrangements possess discrete sets of limit points

  • Roman Wituła EMAIL logo , Edyta Hetmaniok and Konrad Kaczmarek
Published/Copyright: April 17, 2014

Abstract.

Aim of this short paper is to construct in any infinite-dimensional Hilbert space a series with terms tending to zero such that some of its rearrangements possess the discrete set of limit points.

The authors would like to express their gratitude to the reviewer for the essential and valuable remarks which helped to improve the paper.

Received: 2012-12-2
Revised: 2013-7-16
Accepted: 2013-8-22
Published Online: 2014-4-17
Published in Print: 2014-6-1

© 2014 by Walter de Gruyter Berlin/Boston

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