数学进展
數學進展
수학진전
ADVANCES IN MATHEMATICS
2008年
4期
489-493
,共5页
可乘等距%渐进可乘等距%序列空间
可乘等距%漸進可乘等距%序列空間
가승등거%점진가승등거%서렬공간
isometry%approximative multiplicative isometry%sequence space
本文证明了(lβn)的单位球面间的非满等距在一定条件下可被线性等距延拓至全空间.并刻画了lp(p＞0)上的非满渐进可乘等距算子.
本文證明瞭(lβn)的單位毬麵間的非滿等距在一定條件下可被線性等距延拓至全空間.併刻畫瞭lp(p＞0)上的非滿漸進可乘等距算子.
본문증명료(lβn)적단위구면간적비만등거재일정조건하가피선성등거연탁지전공간.병각화료lp(p＞0)상적비만점진가승등거산자.
With the mu]tiplicative assumption, it shows that into isometrics between unit spheres of (lβn) can be linearly isometrically extended to the whole space. It also characterizes certain kinds of approximative multiplicative isometrics from lp (p ＞ 0) into itself.
