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arXiv · 2411.13678

Approximation spaces, greedy classes and Lorentz spaces

Miguel Berasategui·Pablo M. Berná·Andrea García
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Abstract

We characterize the approximation spaces of a broad class of bases - which includes almost greedy bases - in terms of weighted Lorentz spaces. For those bases, we also find necessary and sufficient conditions under which the approximation spaces and greedy classes are the same.

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Miguel Berasategui, Pablo M. Berná, Andrea García. 2024-11-20. Approximation spaces, greedy classes and Lorentz spaces. https://arxiv.org/abs/2411.13678

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