A local kernel property of closed derivations on $C(I\times I)$
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- by Katsuyoshi Nishio PDF
- Proc. Amer. Math. Soc. 95 (1985), 573-576 Request permission
Abstract:
In this note we show a local behavior of closed derivations on $C\left ( {\left [ {0,1} \right ] \times \left [ {0,1} \right ]} \right )$, which is essentially different from one-dimensional derivations. Roughly speaking, any closed derivations on $C\left ( {\left [ {0,1} \right ] \times \left [ {0,1} \right ]} \right )$ has a nonconstant kernel locally.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 573-576
- MSC: Primary 46J05; Secondary 46L05, 46L40
- DOI: https://doi.org/10.1090/S0002-9939-1985-0810166-9
- MathSciNet review: 810166