On Sums of Strictly Narrow Operators Acting from a Riesz Space to a Banach Space
Joint Authors
Maslyuchenko, Oleksandr
Popov, Mikhail
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-02
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We prove that if E is a Dedekind complete atomless Riesz space and X is a Banach space, then the sum of two laterally continuous orthogonally additive operators from E to X, one of which is strictly narrow and the other one is hereditarily strictly narrow with finite variation (in particular, has finite rank), is strictly narrow.
Similar results were previously obtained for narrow operators by different authors; however, no theorem of the kind was known for strictly narrow operators.
American Psychological Association (APA)
Maslyuchenko, Oleksandr& Popov, Mikhail. 2019. On Sums of Strictly Narrow Operators Acting from a Riesz Space to a Banach Space. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1174932
Modern Language Association (MLA)
Maslyuchenko, Oleksandr& Popov, Mikhail. On Sums of Strictly Narrow Operators Acting from a Riesz Space to a Banach Space. Journal of Function Spaces No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1174932
American Medical Association (AMA)
Maslyuchenko, Oleksandr& Popov, Mikhail. On Sums of Strictly Narrow Operators Acting from a Riesz Space to a Banach Space. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1174932
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174932
