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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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Official URL: http://www.cms.math.ca/cmb/

## 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 |
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Uncontrolled Keywords: | Real-analytic diffeomorphic; Real-analytic seminorm |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 13960 |

Deposited On: | 25 Nov 2011 12:30 |

Last Modified: | 06 Feb 2014 09:56 |

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