Isometries on the $\ell^1$-sum of $C_0(Î©,E)$ type spaces | 東京大学大学院数理科学研究科理学部数学科

Processing math: 12%

ホーム

Journal of Mathematical Sciences
- Vol. 31 (2024)
  No.1-No.2
- Vol. 30 (2023)
  No.1-No.2-No.3
- Vol. 29 (2022)
  No.1-No.2-No.3
- Vol. 28 (2021)
  No.1-No.2-No.3-No.4
- Vol. 27 (2020)
  No.1
- Vol. 26 (2019)
  No.1-No.2-No.3
- Vol. 25 (2018)
  No.1-No.2
- Vol. 24 (2017)
  No.1-No.2-No.3
- Vol. 23 (2016)
  No.1-No.2-No.3-No.4
- Vol. 22 (2015)
  No.1-No.2-No.3-No.4
- Vol. 21 (2014)
  No.1-No.2
- Vol. 20 (2013)
  No.1-No.2-No.3-No.4
- Vol. 19 (2012)
  No.1-No.2-No.3-No.4
- Vol. 18 (2011)
  No.1-No.2-No.3-No.4
- Vol. 17 (2010)
  No.1-No.2-No.3-No.4
- Vol. 16 (2009)
  No.1-No.2-No.3-No.4
- Vol. 15 (2008)
  No.1-No.2-No.3-No.4
- Vol. 14 (2007)
  No.1-No.2-No.3-No.4
- Vol. 13 (2006)
  No.1-No.2-No.3-No.4
- Vol. 12 (2005)
  No.1-No.2-No.3-No.4
- Vol. 11 (2004)
  No.1-No.2-No.3-No.4
- Vol. 10 (2003)
  No.1-No.2-No.3-No.4
- Vol. 9 (2002)
  No.1-No.2-No.3-No.4
- Vol. 8 (2001)
  No.1-No.2-No.3-No.4
- Vol. 7 (2000)
  No.1-No.2-No.3-No.4
- Vol. 6 (1999)
  No.1-No.2-No.3-No.4
- Vol. 5 (1998)
  No.1-No.2-No.3-No.4
- Vol. 4 (1997)
  No.1-No.2-No.3
- Vol. 3 (1996)
  No.1-No.2-No.3
- Vol. 2 (1995)
  No.1-No.2-No.3
- Vol. 1 (1994)
  No.1-No.2-No.3

Isometries on the $\ell^1$ -sum of $C_0(Î©,E)$ type spaces

J. Math. Sci. Univ. Tokyo
Vol. 2 (1995), No. 1, Page 131--154.

Wang, Risheng ; Orihara, Akio
Isometries on the $\ell^1$ -sum of $C_0(Î©,E)$ type spaces
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
In this paper, we study the representations of isometries on the unit sphere of the

$\ell\sp 1$ -sum of

$C\sb 0 (Î©,E)$ type spaces and give an affirmative answer to the corresponding Tingley's problem. Especially, we can get the results of [1].

Keywords: Isometry;

$\ell\sp p$ -sum; Tingley's problem; Mazur-Ulam's theorem

Mathematics Subject Classification (1991): Primary 46A22; Secondary 46B20, 46E15, 46E40

Mathematical Reviews Number: MR1348025

Received: 1994-04-27

このページのトップへ

〒153-8914　東京都目黒区駒場3-8-1　TEL:03-5465-7001（代表受付）　FAX：03-5465-7011（代表受付）

Isometries on the ℓ1\ell^1-sum of C_0(Î©,E)C_0(Î©,E) type spaces

Isometries on the $\ell^1$ -sum of $C_0(Î©,E)$ type spaces