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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2208.03976 |
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| _version_ | 1866912224649412608 |
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| author | Silvestri, Benedetto |
| author_facet | Silvestri, Benedetto |
| contents | We provide sufficient conditions for the existence of a strong derivable map and calculate its derivative by employing a result in our previous work on strong derivability of maps arising by functional calculus of an unbounded scalar type spectral operator $R$ in a Banach space and the generalization to complete locally convex spaces of a classical result valid in the Banach space context. We apply this result to obtain a sequence of integrals converging to an integral of a complete locally convex space extension of a map arising by functional calculus of $R$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_03976 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Construction of strong derivable maps via functional calculus of unbounded spectral operators in Banach spaces Silvestri, Benedetto Functional Analysis 46G05, 47B40, 47A60 We provide sufficient conditions for the existence of a strong derivable map and calculate its derivative by employing a result in our previous work on strong derivability of maps arising by functional calculus of an unbounded scalar type spectral operator $R$ in a Banach space and the generalization to complete locally convex spaces of a classical result valid in the Banach space context. We apply this result to obtain a sequence of integrals converging to an integral of a complete locally convex space extension of a map arising by functional calculus of $R$. |
| title | Construction of strong derivable maps via functional calculus of unbounded spectral operators in Banach spaces |
| topic | Functional Analysis 46G05, 47B40, 47A60 |
| url | https://arxiv.org/abs/2208.03976 |