Biseparating linear maps of continuous or smooth functions

碩士 === 國立中山大學 === 應用數學系研究所 === 93 === Let X. Y be compact Hausdorff spaces, and E, F be Banach spaces. A linear map T:C (X,E)→C (Y,F) is separating if ∥Tf(y)∥∥Tg(y)∥=0 whenever ∥f(x)∥∥g(x)∥=0, for every x belonging to X, y belonging to Y. Gau, Jeang and Wong prove that a biseparating linear bijectio...

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Bibliographic Details
Main Authors: Shao-hua Yan, 閻紹華
Other Authors: Ngai-Ching Wong
Format: Others
Language:en_US
Published: 2005
Online Access:http://ndltd.ncl.edu.tw/handle/40566371628532028815