The Cesaro operator on L^2(0, 1)
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918463950290944 |
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| author | Belli, Anil Gul, Ugur Ross, William T. Siskakis, Aristomenis G. |
| author_facet | Belli, Anil Gul, Ugur Ross, William T. Siskakis, Aristomenis G. |
| contents | This paper explores a version of the classical Ces`aro integral operator for the Lebesgue space L2(0, 1) where we discuss its norm, adjoint, spectral properties, and invariant subspaces. An important tool will be semigroups of weighted composition operators on L2(0, 1). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19691 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Cesaro operator on L^2(0, 1) Belli, Anil Gul, Ugur Ross, William T. Siskakis, Aristomenis G. Functional Analysis 26A42, 47B38 This paper explores a version of the classical Ces`aro integral operator for the Lebesgue space L2(0, 1) where we discuss its norm, adjoint, spectral properties, and invariant subspaces. An important tool will be semigroups of weighted composition operators on L2(0, 1). |
| title | The Cesaro operator on L^2(0, 1) |
| topic | Functional Analysis 26A42, 47B38 |
| url | https://arxiv.org/abs/2604.19691 |