Properties of modulus of monotonicity and Opial property in direct sums

Joanna Markowicz, Stanisław Prus

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.

Keywords


Banach lattice; modulus of monotonicity; direct sum; non-strict Opial property; Opial property

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References


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DOI: http://dx.doi.org/10.17951/a.2017.71.2.69
Date of publication: 2017-12-18 20:31:34
Date of submission: 2017-12-17 11:10:26


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