Local Lipschitz continuity of the metric projection operator
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B. Björnestål (1979)
Banach Center Publications
Musiał, K., Swaminathan, S. (1981)
Abstracta. 9th Winter School on Abstract Analysis
Michal Johanis (2009)
Czechoslovak Mathematical Journal
The notion of functions dependent locally on finitely many coordinates plays an important role in the theory of smoothness and renormings on Banach spaces, especially when higher order smoothness is involved. In this note we investigate the structural properties of Banach spaces admitting (arbitrary) bump functions depending locally on finitely many coordinates.
Jozef Banas, Krzysztof Fraczek (1993)
Collectanea Mathematica
The aim of this paper is to study the relationships between the concepts of local near uniform smoothness and the properties H and H*.
MANUEL FERNÁNDEZ and MARÍA L. SORIANO CARLOS BENÍTEZ (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Z. D. Ren (2010)
Annales Polonici Mathematici
A new lower bound for the Jung constant of the Orlicz sequence space defined by an N-function Φ is found. It is proved that if is reflexive and the function tΦ’(t)/Φ(t) is increasing on , then . Examples in Section 3 show that the above estimate is better than in Zhang’s paper (2003) in some cases and that the results given in Yan’s paper (2004) are not accurate.
Hermann Pfitzner (1993)
Studia Mathematica
Banach spaces which are L-summands in their biduals - for example , the predual of any von Neumann algebra, or the dual of the disc algebra - have Pełczyński’s property (V*), which means that, roughly speaking, the space in question is either reflexive or is weakly sequentially complete and contains many complemented copies of .
J. Orihuela, S. Troyanski (2009)
RACSAM
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