Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606780 | Journal of Approximation Theory | 2017 | 20 Pages |
Abstract
In this paper we study the divergence behavior of linear approximation processes in general Banach spaces. We are interested in the structure of the set of vectors creating divergence. The Banach–Steinhaus theory gives some information about this set, however, it cannot be used to answer the question whether this set contains subspaces with linear structure. We give necessary and sufficient conditions for the lineability and the spaceability of the set of vectors creating divergence.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Holger Boche, Ullrich J. Mönich,