ISOMETRIES BETWEEN THE UNIT SPHERES OF C0(Ω) TYPE SPACES

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (1): 82-89.

ISOMETRIES BETWEEN THE UNIT SPHERES OF C₀(Ω) TYPE SPACES

王日生

Dept. of Math., Nankai Univ., Tianjin 300071, China

收稿日期:1991-05-28 出版日期:1994-03-25 发布日期:1994-03-25

ISOMETRIES BETWEEN THE UNIT SPHERES OF C₀(Ω) TYPE SPACES

Wang Risheng

Dept. of Math., Nankai Univ., Tianjin 300071, China

Received:1991-05-28 Online:1994-03-25 Published:1994-03-25

摘要/Abstract

摘要： It is shown that unit spheres of C₀(X) and C₀(Y) are isometric if and only if X and Y are homeomorphic; and each isometry between the unit spheres of C₀(X) and C₀(Y) is necessarily the restriction of an isometry between C₀(X) and C₀(Y) with one part is linear and another part is conjugate-linear.

王日生. ISOMETRIES BETWEEN THE UNIT SPHERES OF C₀(Ω) TYPE SPACES[J]. 数学物理学报(英文版), 1994, 14(1): 82-89.

Wang Risheng. ISOMETRIES BETWEEN THE UNIT SPHERES OF C₀(Ω) TYPE SPACES[J]. Acta mathematica scientia,Series B, 1994, 14(1): 82-89.

ISOMETRIES BETWEEN THE UNIT SPHERES OF C₀(Ω) TYPE SPACES

ISOMETRIES BETWEEN THE UNIT SPHERES OF C₀(Ω) TYPE SPACES

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