Properties of modulus of monotonicity and Opial property in direct sums

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
  • Views 88
  • Downloads 0

How To Cite

Joanna Markowicz, Stanisław Prus (2017). Properties of modulus of monotonicity and Opial property in direct sums. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 71(2), 69-77. https://europub.co.uk/articles/-A-305677