convex modulus
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Author(s):  
Joanna Markowicz ◽  
Stanisław Prus

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.


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