给出Banach格上所有从E到F的正则AM-紧算子空间在｜｜·｜｜AM范数下是AL-空间,当且仅当E是AM-空间,且F是AL-空间;正则AM-紧算子空间在......

Let E and F be Banach lattices. It is known that if every continuous linear operator from E into F is regular, then, und......

首先讨论了Banach格上的b—AM-紧算子的模的存在性．即Banach格到AM-空间上的b-AM-紧算予的模存在，且其模也是b—AM-紧算子．其次，讨论了......

得到了Banach格上所有从E到F的正则b—AM一紧算子空间在｜｜·｜｜b-AM-范数下是AL-空间当且仅当E是AM-空间且F是AL-空间．正则b-AM-紧算......