Banach spaces which are somewhat uniformly noncreasy
نویسندگان
چکیده
منابع مشابه
Uniformly convex Banach spaces are reflexive - constructively
We propose a natural definition of what it means in a constructive context for a Banach space to be reflexive, and then prove a constructive counterpart of the MilmanPettis theorem that uniformly convex Banach spaces are reflexive. Our aim in this note is to present a fully constructive analysis of the Milman-Pettis theorem [11, 12, 9, 13]: a uniformly convex Banach space is reflexive. First, t...
متن کاملUniformly Convex Functions on Banach Spaces
We study the connection between uniformly convex functions f : X → R bounded above by ‖ · ‖p, and the existence of norms on X with moduli of convexity of power type. In particular, we show that there exists a uniformly convex function f : X → R bounded above by ‖ · ‖2 if and only if X admits an equivalent norm with modulus of convexity of power type 2.
متن کاملLocally Uniformly Convex Norms in Banach Spaces and Their Duals
It is shown that a Banach space with locally uniformly convex dual admits an equivalent norm that is itself locally uniformly convex.
متن کاملFixed Point Theorems in Uniformly Convex Banach Spaces
The notion of an asymptotic center is used to prove a number of results concerning the existence of fixed points under certain selfmappings of a closed and bounded convex subset of a uniformly convex Banach space.
متن کاملGENERALIZED CO - COMPLEMENTARITY PROBLEMS IN p - UNIFORMLY SMOOTH BANACH SPACES
The objective of this paper is to study the iterative solutions of a class of generalized co-complementarity problems in p-uniformly smooth Banach spaces, with the devotion of sunny retraction mapping, p-strongly accretive, p-relaxed accretive and Lipschitzian (or more generally uniformly continuous) mappings. Our results are new and represents a significant improvement of previously known resu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00410-4