Weak and weak* $I^K$convergence in normed spaces
Abstract
The main object of this paper is to study the concept of weak $I^K$convergence, a generalization of weak $I^*$convergence of sequences in a normed space, introducing the idea of weak* $I^K$convergence of sequences of functionals where $I,K$ are two ideals on $\mathbb{N}$, the set of all positive integers. Also we have studied the ideas of weak $I^K$ and weak* $I^K$limit points to investigate the properties in the same space.
 Publication:

arXiv eprints
 Pub Date:
 November 2018
 arXiv:
 arXiv:1811.06707
 Bibcode:
 2018arXiv181106707B
 Keywords:

 Mathematics  General Topology;
 40A35 (Primary);
 40H05 (Secondary)
 EPrint:
 10 pages