The Degree of Convex Nondensifiability in Banach Spaces
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http://hdl.handle.net/10045/51145
Title: | The Degree of Convex Nondensifiability in Banach Spaces |
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Authors: | García Macías, Gonzalo | Mora, Gaspar |
Research Group/s: | Curvas Alpha-Densas. Análisis y Geometría Local |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
Keywords: | Alpha-dense curves | Degree of nondensifiability | Degree of convex nondensifiability | Measures of noncompactness |
Knowledge Area: | Análisis Matemático |
Issue Date: | 2015 |
Publisher: | Heldermann Verlag |
Citation: | Journal of Convex Analysis. 2015, 22(3): 871-888 |
Abstract: | It is shown in this paper that the notion of α-dense curve in a bounded set of a metric space produces a degree of nondensifiability φd which extended to convex hulls of bounded sets in a Banach space generates a measure of noncompactness (briefly MNC) Φ that we will call degree of convex nondensifiability. We also prove that Φ dominates any other MNC and, in particular, dominates the MNC of Hausdorff of the best possible form in infinite dimensional Banach spaces. |
URI: | http://hdl.handle.net/10045/51145 |
ISSN: | 0944-6532 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © Heldermann Verlag |
Peer Review: | si |
Publisher version: | http://www.heldermann.de/JCA/JCA22/JCA223/jca22045.htm |
Appears in Collections: | INV - CADAGL - Artículos de Revistas |
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2015_Garcia_Mora_JCA.pdf | Acceso restringido | 130,34 kB | Adobe PDF | Open Request a copy |
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