Azagra Rueda, Daniel and Dobrowolski, Tadeusz (2002) RealAnalytic Negligibility of Points and Subspaces in Banach Spaces, with Applications. Canadian Mathematical Bulletin, 45 (1). pp. 310. ISSN 00084395

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Abstract
We prove that every infinitedimensional Banach space X having a (not necessarily equivalent) realanalytic norm is realanalytic diffeomorphic to X \ {0}. More generally, if X is an infinitedimensional Banach space and F is a closed subspace of X such that there is a realanalytic seminorm on X whose set of zeros is F, and X / F is infinitedimensional, then X and X \ F are realanalytic diffeomorphic. As an application we show the existence of realanalytic free actions of the circle and the ntorus on certain Banach spaces
Item Type:  Article 

Uncontrolled Keywords:  Realanalytic diffeomorphic; Realanalytic 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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