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We prove, in particular, that if E is a Dedekind complete atomless Riesz space and X is a Banach space then the sum of a narrow and a C-compact laterally… Click to show full abstract
We prove, in particular, that if E is a Dedekind complete atomless Riesz space and X is a Banach space then the sum of a narrow and a C-compact laterally continuous orthogonally additive operators from E to X is narrow. This generalizes in several directions known results on narrowness of the sum of a narrow and a compact operators for the settings of linear and orthogonally additive operators defined on Köthe function spaces and Riesz spaces.
Keywords:
narrow compact;
compact operators;
sums narrow
Journal Title: Positivity
Year Published: 2019
Link to full text (if available)
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Journal Title: Positivity
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!