Azagra Rueda, Daniel and Dobrowolski, Tadeusz (2002) Real-Analytic Negligibility of Points and Subspaces in Banach Spaces, with Applications. Canadian Mathematical Bulletin, 45 (1). pp. 3-10. ISSN 0008-4395
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Abstract
We prove that every infinite-dimensional Banach space X having a (not necessarily equivalent) real-analytic norm is real-analytic diffeomorphic to X \ {0}. More generally, if X is an infinite-dimensional Banach space and F is a closed subspace of X such that there is a real-analytic seminorm on X whose set of zeros is F, and X / F is infinite-dimensional, then X and X \ F are real-analytic diffeomorphic. As an application we show the existence of real-analytic free actions of the circle and the n-torus on certain Banach spaces
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Real-analytic diffeomorphic; Real-analytic seminorm |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 13960 |
| Deposited On: | 25 Nov 2011 13:30 |
| Last Modified: | 25 Nov 2011 13:30 |
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