二维Banach空间到L1(Ω,μ)内的等距逼近

数学物理学报 ›› 1998, Vol. 18 ›› Issue (2): 184-191.

二维Banach空间到L¹(Ω,μ)内的等距逼近

詹大鹏

南开大学数学系天津 300071

收稿日期:1996-07-01 修回日期:1996-12-12 出版日期:1998-06-26 发布日期:1998-06-26

Isometric Approximation from 2-dim Banach Space into L¹ (Ω, μ)

Zhan Dapeng

Department, of Mathematics, Nankai University, Tainjin 300071

Received:1996-07-01 Revised:1996-12-12 Online:1998-06-26 Published:1998-06-26

摘要/Abstract

摘要： 该文证明了B(E₂,L¹(Ω,μ))中的等距逼近问题,其中E₂是二维Banach空间,(Ω,μ)是无原子的测度空间.

关键词: 等距逼近, 无原子测度空间

Abstract: In this paped, it is proved that the isometric approximation problem for B (E₂,L¹ (△,v)) is proper,where E₂ denotes a 2-dim Banach space and (Ω,μ) is nonatomic measurable space.

Key words: Isometric approximation, Nonatomic measurable space

詹大鹏. 二维Banach空间到L¹(Ω,μ)内的等距逼近[J]. 数学物理学报, 1998, 18(2): 184-191.

Zhan Dapeng. Isometric Approximation from 2-dim Banach Space into L¹ (Ω, μ)[J]. Acta mathematica scientia,Series A, 1998, 18(2): 184-191.

二维Banach空间到L¹(Ω,μ)内的等距逼近

Isometric Approximation from 2-dim Banach Space into L¹ (Ω, μ)

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二维Banach空间到L1(Ω,μ)内的等距逼近

Isometric Approximation from 2-dim Banach Space into L1 (Ω, μ)

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二维Banach空间到L¹(Ω,μ)内的等距逼近

Isometric Approximation from 2-dim Banach Space into L¹ (Ω, μ)