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- W4287813719 abstract "In this paper we explore some basic properties of quasi-Banach function spaces which are important in applications. Namely, we show that they posses a generalised version of Riesz--Fischer property, that embeddings between them are always continuous and that the dilation operator is bounded on them. We also provide a characterisation of separability for quasi-Banach function spaces over the Euclidean space. Furthermore, we extend the classical Riesz--Fischer theorem to the context of quasinormed spaces and, as a consequence, obtain an alternative proof of completeness of quasi-Banach function spaces." @default.
- W4287813719 created "2022-07-26" @default.
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- W4287813719 date "2020-04-20" @default.
- W4287813719 modified "2023-09-26" @default.
- W4287813719 title "On the properties of quasi-Banach function spaces" @default.
- W4287813719 doi "https://doi.org/10.48550/arxiv.2004.09435" @default.
- W4287813719 hasPublicationYear "2020" @default.
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