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LFC bumps on separable Banach spaces

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Jiménez Sevilla, María del Mar and Sánchez González, Luis (2010) LFC bumps on separable Banach spaces. Journal of Mathematical Analysis and Applications, 365, N (1). pp. 315-319. ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/journal/0022247X



Abstract

In this note we construct a C∞-smooth, LFC (Locally depending on Finitely many Coordinates) bump function, in every separable Banach space admitting a continuous, LFC bump function.


Item Type:Article
Uncontrolled Keywords:Smooth bump functions; Locally depending on finitely many coordinates; Polyhedral banach spaces
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:13816
Deposited On:10 Nov 2011 12:32
Last Modified:06 Feb 2014 09:54

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