Title : Mirmostafaee, A. K.; Niknam, A. A remark on uniquely remotal sets ( A remark on uniquely remotal sets )
Authors: Seyyed Alireza Kamel Mirmostafaee , Asadollah Niknam ,
Full TextAbstract
Let X be a Banach space. A bounded subset T of X is said to be uniquely remotal if for every x 2 X there exists a unique qT (x) 2 T with kx − qT (x)k = supy2T kx − yk. It is still open whether uniquely remotal sets are singletons, though this is known for finite-dimensional spaces or compact sets. In this paper this conjecture is shown for l1-sums of Banach spaces and alternative JB-algebras
Keywords
, uniquely remotal sets, JB-algebras.
@article{paperid:1004919,
author = {Kamel Mirmostafaee, Seyyed Alireza and Niknam, Asadollah},
title = {Mirmostafaee, A. K.; Niknam, A. A remark on uniquely remotal sets},
journal = {Indian Journal of Pure and Applied Mathematics},
year = {1998},
volume = {29},
number = {5},
month = {October},
issn = {0019-5588},
pages = {849--854},
numpages = {5},
keywords = {uniquely remotal sets; JB-algebras.},
}
%0 Journal Article
%T Mirmostafaee, A. K.; Niknam, A. A remark on uniquely remotal sets
%A Kamel Mirmostafaee, Seyyed Alireza
%A Niknam, Asadollah
%J Indian Journal of Pure and Applied Mathematics
%@ 0019-5588
%D 1998
