论文标题
扰动类问题的扰动和超注射式Banach空间
The perturbation classes problem for subprojective and superprojective Banach spaces
论文作者
论文摘要
我们表明，当X具有X具有X的X和Y时，在两个Banach空间X和Y之间的上半液体操作员的扰动类别与严格的奇异操作员相吻合，并且当y是超级液体时，下半粉红色操作员的扰动类别与严格的cosingsular oterators相吻合。先前在X和Y条件更强的条件下获得了类似的结果。
We show that the perturbation class for the upper semi-Fredholm operators between two Banach spaces X and Y coincides with the strictly singular operators when X is subprojective and that the perturbation class for the lower semi-Fredholm operators coincides with the strictly cosingular operators when Y is superprojective. Similar results were previously obtained under stronger conditions for X and Y.
