Compressions of selfadjoint and maximal dissipative extensions of non-densely defined symmetric operators
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912030632443904 |
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| author | Arlinski\uı, Yu. M. |
| author_facet | Arlinski\uı, Yu. M. |
| contents | Selfadjoint and maximal dissipative extensions of a non-densely defined symmetric operator $S$ in an infinite-dimensional separable Hilbert space are considered and their compressions on the subspace ${\rm \overline{dom}\,} S$ are studied. The main focus is on the case ${\rm codim\,}{\rm \overline{dom}\,}S=\infty$. New properties of the characteristic functions of non-densely defined symmetric operators are established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10234 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compressions of selfadjoint and maximal dissipative extensions of non-densely defined symmetric operators Arlinski\uı, Yu. M. Functional Analysis 47A20, 47A48, 47B25, 47B44 F.2.2; I.2.7 Selfadjoint and maximal dissipative extensions of a non-densely defined symmetric operator $S$ in an infinite-dimensional separable Hilbert space are considered and their compressions on the subspace ${\rm \overline{dom}\,} S$ are studied. The main focus is on the case ${\rm codim\,}{\rm \overline{dom}\,}S=\infty$. New properties of the characteristic functions of non-densely defined symmetric operators are established. |
| title | Compressions of selfadjoint and maximal dissipative extensions of non-densely defined symmetric operators |
| topic | Functional Analysis 47A20, 47A48, 47B25, 47B44 F.2.2; I.2.7 |
| url | https://arxiv.org/abs/2409.10234 |