Gel'fand Integration of B(E, F*)-Valued Functions With Emphasis on (q, p)-Summing Operators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908991183912960 |
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| author | Milović, Matija Milošević, Stefan |
| author_facet | Milović, Matija Milošević, Stefan |
| contents | We generalize results concerning Gel'fand integration of functions taking values in the space of operators on Hilbert spaces to certain Banach spaces. Building on ideas from \cite{M24} we provide sufficient conditions for the Gel'fand integral to be $(q,p)$-summing and we use the developed techniques to answer a question posed in the mentioned article. Applications to positive operator-valued functions between certain function spaces are also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22701 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gel'fand Integration of B(E, F*)-Valued Functions With Emphasis on (q, p)-Summing Operators Milović, Matija Milošević, Stefan Functional Analysis 47B10, 47B65, 46G10 (Primary) 47A30, 46B42, 46E40 (Secondary) We generalize results concerning Gel'fand integration of functions taking values in the space of operators on Hilbert spaces to certain Banach spaces. Building on ideas from \cite{M24} we provide sufficient conditions for the Gel'fand integral to be $(q,p)$-summing and we use the developed techniques to answer a question posed in the mentioned article. Applications to positive operator-valued functions between certain function spaces are also given. |
| title | Gel'fand Integration of B(E, F*)-Valued Functions With Emphasis on (q, p)-Summing Operators |
| topic | Functional Analysis 47B10, 47B65, 46G10 (Primary) 47A30, 46B42, 46E40 (Secondary) |
| url | https://arxiv.org/abs/2604.22701 |