LFC bumps on separable Banach spaces

DOI10.1016/j.jmaa.2009.10.049zbMath1193.46003OpenAlexW2062416591MaRDI QIDQ847780

Luis Sánchez González, Mar Jiménez-Sevilla

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.049

zbMATH Keywords

polyhedral Banach spaceslocally depending on finitely many coordinatesSmooth bump functions

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (1)

Density and extension of differentiable functions on metric measure spaces

Cites Work

• Three characterizations of polyhedral Banach spaces
• Polyhedrality in Orlicz spaces
• Polyhedral Banach spaces
• Some isomorphically polyhedral Orlicz sequence spaces
• Smoothing of bump functions
• Polyhedral sections of convex bodies
• Locally flat Banach spaces
• A note on bump functions that locally depend on finitely many coordinates
• Smooth Norms that Depend Locally on Finitely many Coordinates
• Smooth partitions of unity on some non-separable Banach spaces
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