A Pełczyński-Vogt decomposition result for (PLS)-spaces and sequence space representations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911292182233088 |
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| author | Debrouwere, Andreas Neyt, Lenny |
| author_facet | Debrouwere, Andreas Neyt, Lenny |
| contents | We establish a Pelczyński-Vogt decomposition result for (PLS)-type power series spaces of infinite type. By combining this result with the theory of Gabor frames, we obtain sequence space representations for multiplier spaces of Gelfand-Shilov spaces of Beurling type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23130 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Pełczyński-Vogt decomposition result for (PLS)-spaces and sequence space representations Debrouwere, Andreas Neyt, Lenny Functional Analysis Primary 46A13, 46A45, 46A63, 46F05, 46M18. Secondary 42C15, 81S30 We establish a Pelczyński-Vogt decomposition result for (PLS)-type power series spaces of infinite type. By combining this result with the theory of Gabor frames, we obtain sequence space representations for multiplier spaces of Gelfand-Shilov spaces of Beurling type. |
| title | A Pełczyński-Vogt decomposition result for (PLS)-spaces and sequence space representations |
| topic | Functional Analysis Primary 46A13, 46A45, 46A63, 46F05, 46M18. Secondary 42C15, 81S30 |
| url | https://arxiv.org/abs/2511.23130 |