Isotone Cones in Banach Spaces and Applications to Best Approximations of Operators without Continuity Conditions

Jinlu Li

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arXiv · 1710.04963

Isotone Cones in Banach Spaces and Applications to Best Approximations of Operators without Continuity Conditions

Jinlu Li

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Abstract

In this paper, we introduce the concept of isotone cones in Banach spaces. Then we apply the order monotonic property of the metric projection operator to prove the existence of best approximations for some operators without continuity conditions in partially ordered Banach spaces.

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Jinlu Li. 2017-10-13. Isotone Cones in Banach Spaces and Applications to Best Approximations of Operators without Continuity Conditions. https://arxiv.org/abs/1710.04963

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