We prove Theorem 1. Let E be a finite dimensional subspace of X<sup>**</sup>, let F be a reflexive subspace of X<sup>*</sup>, and let ε】0 be given. Then there is a linear operator S: E→X suc...We prove Theorem 1. Let E be a finite dimensional subspace of X<sup>**</sup>, let F be a reflexive subspace of X<sup>*</sup>, and let ε】0 be given. Then there is a linear operator S: E→X such that ‖S‖‖S<sup>-1</sup>‖【1+ε, Sx=x whenever x∈E∩X, and f(Sx<sup>**</sup>)=x<sup>**</sup>（f） for all x<sup>**</sup>∈E and all f∈F. The proof depends upon two results we now recall.展开更多
文摘We prove Theorem 1. Let E be a finite dimensional subspace of X<sup>**</sup>, let F be a reflexive subspace of X<sup>*</sup>, and let ε】0 be given. Then there is a linear operator S: E→X such that ‖S‖‖S<sup>-1</sup>‖【1+ε, Sx=x whenever x∈E∩X, and f(Sx<sup>**</sup>)=x<sup>**</sup>（f） for all x<sup>**</sup>∈E and all f∈F. The proof depends upon two results we now recall.
