Invariant symmetric restrictions of a self-adjoint operator. II
We give a criterion of invariance and symmetry of the restriction of an arbitrary unbounded self-adjoint operator in the space L 2(ℝn, dx) by using the introduced notion of support of an arbitrary vector and the notion of capacity of a subspace N ⊂ ℝn.
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4888 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511071821889536 |
|---|---|
| author | Dudkin, M. Ye. Дудкін, М. Є. |
| author_facet | Dudkin, M. Ye. Дудкін, М. Є. |
| author_sort | Dudkin, M. Ye. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:16:32Z |
| description | We give a criterion of invariance and symmetry of the restriction of an arbitrary unbounded self-adjoint operator in the space L 2(ℝn, dx) by using the introduced notion of support of an arbitrary vector and the notion of capacity of a subspace N ⊂ ℝn. |
| first_indexed | 2026-03-24T03:07:04Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4888 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:07:04Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/03/615c23c009d787540818ab894a310c03.pdf |
| spelling | umjimathkievua-article-48882020-03-18T21:16:32Z Invariant symmetric restrictions of a self-adjoint operator. II Інваріантні симетричні звуження самоспряженого оператора. II Dudkin, M. Ye. Дудкін, М. Є. We give a criterion of invariance and symmetry of the restriction of an arbitrary unbounded self-adjoint operator in the space L 2(ℝn, dx) by using the introduced notion of support of an arbitrary vector and the notion of capacity of a subspace N ⊂ ℝn. Наведено критерій інваріантності і симетричності звуження довільного необмеженого самоспряженого оператора в просторі $L_2(ℝ^n, dx)$ з використанням введеного поняття носія довільного вектора та поняття ємності підмпожини $N ⊂ ℝn$. Institute of Mathematics, NAS of Ukraine 1998-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4888 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 6 (1998); 781–791 Український математичний журнал; Том 50 № 6 (1998); 781–791 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4888/6475 https://umj.imath.kiev.ua/index.php/umj/article/view/4888/6476 Copyright (c) 1998 Dudkin M. Ye. |
| spellingShingle | Dudkin, M. Ye. Дудкін, М. Є. Invariant symmetric restrictions of a self-adjoint operator. II |
| title | Invariant symmetric restrictions of a self-adjoint operator. II |
| title_alt | Інваріантні симетричні звуження самоспряженого оператора. II |
| title_full | Invariant symmetric restrictions of a self-adjoint operator. II |
| title_fullStr | Invariant symmetric restrictions of a self-adjoint operator. II |
| title_full_unstemmed | Invariant symmetric restrictions of a self-adjoint operator. II |
| title_short | Invariant symmetric restrictions of a self-adjoint operator. II |
| title_sort | invariant symmetric restrictions of a self-adjoint operator. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4888 |
| work_keys_str_mv | AT dudkinmye invariantsymmetricrestrictionsofaselfadjointoperatorii AT dudkínmê invariantsymmetricrestrictionsofaselfadjointoperatorii AT dudkinmye ínvaríantnísimetričnízvužennâsamosprâženogooperatoraii AT dudkínmê ínvaríantnísimetričnízvužennâsamosprâženogooperatoraii |