On band operators

Authors : Bahri TURAN, Kazim ÖZCAN

Pages : 977-984

View : 13 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let $G$ and $H$ be Archimedean Riesz spaces. We study the properties of band operators and inverse band operators from $G$ to $H$ and investigate their relations to some well-known classes of operators. Then, we show that under some assumptions on the Riesz spaces $G$ or $H$, if $S$ is a bijective band operator from $G$ into $H$ then $S^{-1}:H\rightarrow G$ is a band operator. Additionally, we give some conditions under which a band operator becomes order bounded.
Keywords : Band operator, inverse band operator, dijointness preserving operator