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...
Main Authors: | , |
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Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2005
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Online Access: | http://ndltd.ncl.edu.tw/handle/40566371628532028815 |