【摘要】 设X、Y为Banach空间,T∈L(X,Y)为线性算子,T的核N(T)为迫近集,T的值域R(T)在Y中为逼近紧的.本文征得T的度量广义逆T的定义域D(T)=Y,由此不适定线性算子方程Tx=y,对任意y∈Y均有最佳逼近解.更多还原

【Abstract】 Amuse X,Y is Banach space,T∈L(X,Y) is liner operator N(T) is approximate set and R(T) is approximate compact in Y,this paper proves D(T)=Y where T is metric generalized inverse of T,Hence arbitrary y∈Y,illposed liner operator equation Tx=y exists the best approximate solution.更多还原