RT Journal Article
T1 High order smoothness and asymptotic structure in banach spaces
A1 Gonzalo, R.
A1 Jaramillo Aguado, Jesús Ángel
A1 Troyanski, S.L.
AB In this paper we study the connections between moduli of asymptotic convexity and smoothness of a Banach space, and the existence of high order differentiable bump functions or equivalent norms on the space. The existence of a high order uniformly differentiable bump function is related to an asymptotically uniformly smooth renorming of power type. On the other hand, the asymptotic uniform convexity of power type is related to the existence of high order smoothness of Nakano sequence spaces.
PB Heldermann Verlag
SN 0944-6532
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/50126
UL https://hdl.handle.net/20.500.14352/50126
LA eng
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NO DGES
NO Bulgarian NFR
NO Fundación Séneca
DS Docta Complutense
RD 4 may 2024