Operator Ideals arising from Generating Sequences
Functional Analysis
2011-01-12 v1
Abstract
In this note, we will discuss how to relate an operator ideal on Banach spaces to the sequential structures it defines. Concrete examples of ideals of compact, weakly compact, completely continuous, Banach-Saks and weakly Banach-Saks operators will be demonstrated.
Cite
@article{arxiv.1101.2085,
title = {Operator Ideals arising from Generating Sequences},
author = {Ngai-Ching Wong},
journal= {arXiv preprint arXiv:1101.2085},
year = {2011}
}
Comments
17 pages, for the Proceedings of International Conference on Algebra 2010, World Scientific. (The International Conference on Algebra in honor of the 70th birthday of Professor Shum Kar Ping was held by Universitas Gadjah Mada (UGM)in Yogyakarta, Indonesia on October 7-10, 2010.)