On K_0-groups of operator algebras on Banach spaces

摘要

This paper merges some classifications of G-M-type Banach spaces simplifically, discusses the condition of K_0(B(X)) = 0 for operator algebra B(X) on a Banach space X, and obtains a result to improve Laustsen's sufficient condition, gives an example to show that X ≈ X~2 is not a sufficient condition of K_0(B(X)) = 0.