The Condition Order Spectrum
Journal of Al-Qadisiyah for Computer Science and Mathematics
2017, Volume 9, Issue 2, Pages 94-102 Math
2017, Volume 9, Issue 2, Pages 94-102 Math
Abstract
In this paper, we will study the relation between complex character f and the condition order spectrum 〖SP〗_ε (a) in real and complex ordered Banach algebra A .We prove many properties on it,s . afterwards, we prove that 〖SP〗_ε (a) is upper semi continuous Finally we will show the relation between condition Quasinilpotent 〖QN〗_ε (A) and the radical .
Keywords
Spectrum Order Banach algebra, Strong algebra cone in OBA, condition Quasi nilpotent, the radical and The condition pseudospectrum.Metrics