数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2008年
4期
361-370
,共10页
ε-等距%几乎满
ε-等距%幾乎滿
ε-등거%궤호만
ε-isometry%almost surjective
我们从减弱文Vestfrid[1]中定理3中空间一致凸条件和加强ε-等距算子条件着手去研究Banach空间中几乎满的￡-等距算子的等距逼近问题.另外,我们结合完备的β-范(0<β<1)空间的性质得到一些相关结论.
我們從減弱文Vestfrid[1]中定理3中空間一緻凸條件和加彊ε-等距算子條件著手去研究Banach空間中幾乎滿的￡-等距算子的等距逼近問題.另外,我們結閤完備的β-範(0<β<1)空間的性質得到一些相關結論.
아문종감약문Vestfrid[1]중정리3중공간일치철조건화가강ε-등거산자조건착수거연구Banach공간중궤호만적￡-등거산자적등거핍근문제.령외,아문결합완비적β-범(0<β<1)공간적성질득도일사상관결론.
In this paper, we investigate the isometric approximation problem of almost surjective ε-isometric operator between Banach spaces, weakening uniformly convex condition of the space in Vestfrid[1, Theorem 3] and strengthening the condition of the ε-isometric operator. In addition, we discuss the problem on complete β-normed spaces (0 < β < 1).
