Properties of modulus of monotonicity and Opial property in direct sums
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, Issue 2
Abstract
We give an example of a Banach lattice with a non-convex modulus of monotonicity, which disproves a claim made in the literature. Results on preservation of the non-strict Opial property and Opial property under passing to general direct sums of Banach spaces are established.
Authors and Affiliations
Joanna Markowicz, Stanisław Prus
Keywords
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- EP ID EP305677
- DOI 10.17951/a.2017.71.2.69
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