This is an announcement for the paper "Operator ideals arising from generating sequences" by Ngai-Ching Wong.

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.

Archive classification: math.FA

Mathematics Subject Classification: 47L20, 47B10 46A11, 46A17

Remarks: 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.)

Submitted from: wong@math.nsysu.edu.tw

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1101.2085

or

http://arXiv.org/abs/1101.2085