It is proven that there exists a Dedekind complete Banach lattice E such that the linear spans/f (E) and IV (E) of positive compact and positive weakly compact operators on E fails to possess the Riesz separation ...It is proven that there exists a Dedekind complete Banach lattice E such that the linear spans/f (E) and IV (E) of positive compact and positive weakly compact operators on E fails to possess the Riesz separation property.展开更多
文摘It is proven that there exists a Dedekind complete Banach lattice E such that the linear spans/f (E) and IV (E) of positive compact and positive weakly compact operators on E fails to possess the Riesz separation property.