【摘要】 本文讨论了封闭强拟可分解算子的商算子的强拟可分解性,并给出某类闭算子的商成为封闭强拟可分解算子的充要条件。更多还原

【Abstract】 We understand that discoveriug some relations between a operator T and its quotient T~Y on decomposability is beneficial to investigate this operator In this paper, we discussed the strongly qnasi-decomposabitity for quotient of closed operators and proved the following main results: Theorem. Let T be a closed operator with property(F) acting a Banach space, then T become closed strougly quasi-decomposable operator if and only if for any spectral maximal space Y of T (where Y(T)), the quotient operator T~Y is a closed strongly quasi-decomposable operator acting Banach space X/Y.更多还原