Basic representation theorems of forms
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866910943975309312 |
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| author | Sebestyén, Zoltán Tarcsay, Zsigmond |
| author_facet | Sebestyén, Zoltán Tarcsay, Zsigmond |
| contents | We study maximal representations of nonnegative sesquilinear forms in real or complex Hilbert spaces, that are not necessarily closed or even closable. We associate positive self-adjoint operators with such forms, in a sense similar to Kato's representation theorems. In particular, we give a brief proof of the Friedrichs extension of a densely defined positive operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09588 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Basic representation theorems of forms Sebestyén, Zoltán Tarcsay, Zsigmond Functional Analysis 47A07, 47A20 We study maximal representations of nonnegative sesquilinear forms in real or complex Hilbert spaces, that are not necessarily closed or even closable. We associate positive self-adjoint operators with such forms, in a sense similar to Kato's representation theorems. In particular, we give a brief proof of the Friedrichs extension of a densely defined positive operator. |
| title | Basic representation theorems of forms |
| topic | Functional Analysis 47A07, 47A20 |
| url | https://arxiv.org/abs/2505.09588 |