超投影空间与严格余奇异算子

Superprojective Banach Spaces and Strictly Cosingular Operators

证明在超投影空间上，当一个算子的共轭是严格余奇异算子时，其本身也是严格余奇异的；超投影空间上的严格余奇异算子理想与非本性算子理想是重合的．举例说明当空间不具超投影性质时，上述结论未必成立．

Proves that on a superprojective Banach spaces T strictly cosingular implies T is strictly cosingular. Obtains that the ideal of strictly cosingular on superprojective Banach space X is equal to the ideal of inessential operators on X.Gives an example to show that two results do not hold for the Banach spaces with superprojective property.