Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1811-35
Keywords
Band operator, inverse band operator, dijointness preserving operator
First Page
977
Last Page
984
Recommended Citation
TURAN, BAHRİ and ÖZCAN, KAZIM
(2019)
"On band operators,"
Turkish Journal of Mathematics: Vol. 43:
No.
2, Article 29.
https://doi.org/10.3906/mat-1811-35
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss2/29
