宜宾学院学报
宜賓學院學報
의빈학원학보
JOURNAL OF YIBIN UNIVERSITY
2012年
6期
21-22
,共2页
强序连续算子%赋范极限%强序收敛%弱序收敛
彊序連續算子%賦範極限%彊序收斂%弱序收斂
강서련속산자%부범겁한%강서수렴%약서수렴
strong order continuous operator%norm limits%strong order convergence%weak order convergence
首先给出强序连续线性算子的基本性质,然后肯定了强序连续线性算子在序有界范数,正则范数以及算子范数下的极限仍是强序连续的结论.
首先給齣彊序連續線性算子的基本性質,然後肯定瞭彊序連續線性算子在序有界範數,正則範數以及算子範數下的極限仍是彊序連續的結論.
수선급출강서련속선성산자적기본성질,연후긍정료강서련속선성산자재서유계범수,정칙범수이급산자범수하적겁한잉시강서련속적결론.
The basic properties of strongly order continuous operators is get,then the conclusion that the operator norm limits of the strongly order continuous order bounded operators are still strongly order continuous with respect to the order bound norm,regular norm and operator norm respectively,is confirmed.