K(X,Y)不含有C_0的条件

本文在一定条件下回答了2]中所提出的问题:K(X.Y)何时不含有与C_0同构的子空间?我们证明了:如果W(X,Y)=K(X,Y),则K(X,Y) C_0 X C_0 且Y C_0。作为推论,我们还有:K(C_0,Y) C_0 Y C_0 及K(X,l_1) C_0 X C_0。

Conditions That K(X,Y) Dosn't Contains c_0

When K(X,Y) doesn't contain a subspace isomorphic to c0,which was posted as an open problem in 2],is solved in this paper under some additional restriction . We prove that and if W(X,Y) = K(X, Y), And by the way,We obtain that and .