Turkish Journal of Mathematics
DOI
10.3906/mat-1811-35
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
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
