洛阳理工学院学报(自然科学版)
洛暘理工學院學報(自然科學版)
락양리공학원학보(자연과학판)
JOURNAL OF LUOYANG INSTITUTE OF SCIENCE AND TECHNOLOGY
2015年
2期
90-92
,共3页
弱几乎极限算子%极限全连续算子%L-弱紧算子%序连续范数
弱幾乎極限算子%極限全連續算子%L-弱緊算子%序連續範數
약궤호겁한산자%겁한전련속산자%L-약긴산자%서련속범수
approximate weak limit operator%completely continuous limit operator%L -weakly compact operator%order -continuous norm
给出了弱几乎极限算子与 L -弱紧算子(半紧算子)的关系,同时也给出了弱几乎极限算子是极限全连续算子的充要条件,以及相关结论。
給齣瞭弱幾乎極限算子與 L -弱緊算子(半緊算子)的關繫,同時也給齣瞭弱幾乎極限算子是極限全連續算子的充要條件,以及相關結論。
급출료약궤호겁한산자여 L -약긴산자(반긴산자)적관계,동시야급출료약궤호겁한산자시겁한전련속산자적충요조건,이급상관결론。
The relations between the approximate weak limit operators and the L -weakly compact operators (semi -compact operators) are established,and some sufficient and necessary conditions for approximate weak limit operator to become completely continuous limit operator are also presented.Accordingly,some related results are obtained as well.