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タイトル: | Almost disjointness preserving functionals on Banach lattices of differentiable functions (Research on preserver problems on Banach algebras and related topics) |
著者: | AN, Guimei CHEN, Jinxi LI Lei LIU, Tong |
キーワード: | 47B38 46B42 ε-disjointness preserving differentiable functions Banach lattices |
発行日: | Jul-2023 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B93 |
開始ページ: | 125 |
終了ページ: | 131 |
抄録: | Let C¹[0, 1] be the space of all continuously differentiable function on [0, 1]. When define the order f ≥ g by f(0) ≥ g(0) and f′ ≥ g′ pointwise on [0, 1], and the norm is defined by ∥f∥σ = |f(0)| + ∥f′∥∞, the space C¹[0, 1] is a Banach lattice. We will give the representation of bounded ε-disjointness preserving linear functionals of C¹[0, 1]. |
著作権等: | © 2023 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
URI: | http://hdl.handle.net/2433/284875 |
出現コレクション: | B93 Research on preserver problems on Banach algebras and related topics |
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