原子L - p -空间单位球间相等距的扩展

IF 0.5 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI:10.4134/BKMS.b180561

Xujian Huang, Xihong Jin

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引用次数: 1

摘要

本文证明了对于实原子lp空间单位球间的每一个满射相等距，其正齐次扩展是相等距，其相等价于线性等距。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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EXTENSION OF PHASE-ISOMETRIES BETWEEN THE UNIT SPHERES OF ATOMIC L p -SPACES FOR p > 0

In this paper, we prove that for every surjective phase-isometry between the unit spheres of real atomic Lp-spaces for p > 0, its positive homogeneous extension is a phase-isometry which is phase equivalent to a linear isometry.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).