Maximal noncompactness of embeddings into Marcinkiewicz spaces
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866908669795368960 |
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| author | Malý, Jan Mihula, Zdeněk Musil, Vít Pick, Luboš |
| author_facet | Malý, Jan Mihula, Zdeněk Musil, Vít Pick, Luboš |
| contents | We develop a new functional-analytic technique for investigating the degree of noncompactness of an operator defined on a quasinormed space and taking values in a Marcinkiewicz space. The main result is a general principle from which it can be derived that such operators are almost always maximally noncompact in the sense that their ball measure of noncompactness coincides with their operator norm. We point out specifications of the universal principle to the case of the identity operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04694 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maximal noncompactness of embeddings into Marcinkiewicz spaces Malý, Jan Mihula, Zdeněk Musil, Vít Pick, Luboš Functional Analysis 41A46, 46E35, 46E30 We develop a new functional-analytic technique for investigating the degree of noncompactness of an operator defined on a quasinormed space and taking values in a Marcinkiewicz space. The main result is a general principle from which it can be derived that such operators are almost always maximally noncompact in the sense that their ball measure of noncompactness coincides with their operator norm. We point out specifications of the universal principle to the case of the identity operator. |
| title | Maximal noncompactness of embeddings into Marcinkiewicz spaces |
| topic | Functional Analysis 41A46, 46E35, 46E30 |
| url | https://arxiv.org/abs/2404.04694 |