International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 21, Pages 3521-3526
doi:10.1155/IJMMS.2005.3521
A note on self-extremal sets in Lp(Ω) spaces
Viet Nguyen-Khac1
and Khiem Nguyen-Van2
1Institute of Mathematics, Vietnamese Academy of Science and Technology, 18 Hoang Quoc Viet Road, Hanoi 10307, Vietnam
2Department of Mathematics \& Informatics, Hanoi University of Education, Cau Giay District, Hanoi, Vietnam
Abstract
We give a necessary condition for a set in Lp(Ω) spaces (1<p<∞) to be self-extremal that partially extends our previous results to the case of Lp spaces. Examples of self-extremal sets in Lp(Ω)(1<p<∞) are also given.