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 $I^{\ast }$-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.

10 pages