Operator Ideals Arising from Generating Sequences

Abstract

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.

Approximate Identities in Algebras of Compact Operators on Frechet Spaces

“…We also give concepts and results on linear operators and algebra of operators on locally convex spaces(lcs). For detail see [8][9][10][11][12][13][14][15][16] .…”