Geodesic
Properties of modulus of monotonicity and Opial property in direct sums
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 71 (2017) no. 2.

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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.
Keywords: Banach lattice, modulus of monotonicity, direct sum, non-strict Opial property, Opial property 
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Markowicz, Joanna; Prus, Stanisław. Properties of modulus of monotonicity and Opial property in direct sums. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 71 (2017) no. 2. http://geodesic.mathdoc.fr/item/AUM_2017_71_2_a5/

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