K-NUC空间与LK-NUC空间

K-NUC and LK-NUC Spaces

证明了 (1)若 X,Y分别是 K1- NUC空间、K2 - NUC空间 ,1<P <+∞ ,则 (X Y) P为 (K1+K2 - 1) - NUC空间 .(2 )若 X,Y分别是 L K1- NUC空间 ,L K2 - NUC空间 ,1<P <+∞ ,则 (X Y) P 为 L (K1+K2 - 1) - NUC空间 .(3)引入了 L K - WH性质 ,并得到具有 L K - WH性质的L NUC空间与 LK - NUC空间等价 .

The results of this paper are as follows:(1) Let X be (K 1NUC) and Y be (K 2NUC),then (XY) P (1<P<+∞) is ((K 1+K 2-1) NUC).(2) Let X be (LK 1NUC) and Y be (LK 2NUC),then (XY) P (1<P<+∞) is(L(K 1+K 2-1)NUC).(3)X is (LKNUC) if and only if X is (LNUC) and has (LKWH)property. [