On Sums of Strictly Narrow Operators Acting from a Riesz Space to a Banach Space

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 fi...

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Bibliographic Details
Main Authors: Oleksandr Maslyuchenko, Mikhail Popov
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/8569409
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