ISOMETRIC APPROXIMATION FROM 2-DIM BANACH SPACE INTO L1[0,1]

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (S1): 46-52.

ISOMETRIC APPROXIMATION FROM 2-DIM BANACH SPACE INTO L¹[0,1]

张庆洪

Dept. of math., Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

收稿日期:1992-06-05 出版日期:1994-12-31 发布日期:1994-12-31

ISOMETRIC APPROXIMATION FROM 2-DIM BANACH SPACE INTO L¹[0,1]

Zhang Qinghong

Dept. of math., Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:1992-06-05 Online:1994-12-31 Published:1994-12-31

摘要/Abstract

摘要： In this paper, some characterizations of isometric operators and ε-isometric opertors from 2-dim Banach Space E₂ into L¹[0, 1] are given, where E₂ denotes a Banach Space whose unit ball is the union of a polygon C and the region enclosd by C in the plane. Also,the answer for IAP(Isometric Approximation Problem) on B(E₂,L¹[0, 1]) is obtained.

关键词: Isometric operators, Isometric approxiamation, Almost isometry

Abstract: In this paper, some characterizations of isometric operators and ε-isometric opertors from 2-dim Banach Space E₂ into L¹[0, 1] are given, where E₂ denotes a Banach Space whose unit ball is the union of a polygon C and the region enclosd by C in the plane. Also,the answer for IAP(Isometric Approximation Problem) on B(E₂,L¹[0, 1]) is obtained.

Key words: Isometric operators, Isometric approxiamation, Almost isometry

张庆洪. ISOMETRIC APPROXIMATION FROM 2-DIM BANACH SPACE INTO L¹[0,1][J]. 数学物理学报(英文版), 1994, 14(S1): 46-52.

Zhang Qinghong. ISOMETRIC APPROXIMATION FROM 2-DIM BANACH SPACE INTO L¹[0,1][J]. Acta mathematica scientia,Series B, 1994, 14(S1): 46-52.

ISOMETRIC APPROXIMATION FROM 2-DIM BANACH SPACE INTO L¹[0,1]

ISOMETRIC APPROXIMATION FROM 2-DIM BANACH SPACE INTO L¹[0,1]

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

Metrics

本文评价

推荐阅读 10