关于K-NUC空间与LK-NUC空间的研究

K - UNC and LK - NUC spaces

对Ｋ－ＮＵＣ空间的乘积空间和ＬＫ－ＮＵＣ空间的乘积空间进行了讨论，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）引 入了ＬＫ－ＷＨ性质，并得到具有ＬＫ－ＷＨ性质的ＬＮＵＣ空间与ＬＫ－ＮＵＣ空间等价．

The results are as follow: (1) Let X be (K1 - NUC) and Y be (K2 - NUC), then ((X■ Y)p(1 <P < +∞ ), is ((K1 + K2 - 1) - NUC). (2)By introducing and investigating (LK - WH)- property, we obtain that X is (LK - NUC) if and only if X is (LNUC) and has (LK -WH)- property.