• Corpus ID: 119318878

Weak and weak* $I^K$-convergence in normed spaces

@article{Banerjee2018WeakAW,
  title={Weak and weak* \$I^K\$-convergence in normed spaces},
  author={Amar Kumar Banerjee and Mahendranath Paul},
  journal={arXiv: General Topology},
  year={2018}
}
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. 
1 Citations

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