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ISOMETRIES BETWEEN THE UNIT SPHERES OF C_0(Ω) TYPE SPACES 被引量:6

ISOMETRIES BETWEEN THE UNIT SPHERES OF C_0(Ω) TYPE SPACES
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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. 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.
作者 王日生
出处 《Acta Mathematica Scientia》 SCIE CSCD 1994年第1期82-89,共8页 数学物理学报(B辑英文版)
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