On the spectrum and spectrum multiplicities of a sum of orthogonal projections
Let H be a unitary (finite dimensional Hilbert) space. It is known [1] that a self-adjoint operator on H, A = A* ≥ 0, is a sum of n orthogonal projections for some n ∈ N if and only if 1) tr A ∈ N∪{0}, 2) tr A ≥ dim Im A (Im A = AH)
Збережено в:
| Дата: | 2004 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156422 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the spectrum and spectrum multiplicities of a sum of orthogonal projections / A.A. Kyrychenko, Yu.S. Samoılenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 71–76. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156422 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1564222019-06-19T01:28:39Z On the spectrum and spectrum multiplicities of a sum of orthogonal projections Kyrychenko, A.A. Samoılenko, Yu.S. Let H be a unitary (finite dimensional Hilbert) space. It is known [1] that a self-adjoint operator on H, A = A* ≥ 0, is a sum of n orthogonal projections for some n ∈ N if and only if 1) tr A ∈ N∪{0}, 2) tr A ≥ dim Im A (Im A = AH) 2004 Article On the spectrum and spectrum multiplicities of a sum of orthogonal projections / A.A. Kyrychenko, Yu.S. Samoılenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 71–76. — Бібліогр.: 9 назв. — англ. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/156422 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let H be a unitary (finite dimensional Hilbert) space. It is known [1] that a self-adjoint operator on H, A = A* ≥ 0, is a sum of n orthogonal projections for some n ∈ N if and only if 1) tr A ∈ N∪{0}, 2) tr A ≥ dim Im A (Im A = AH) |
| format |
Article |
| author |
Kyrychenko, A.A. Samoılenko, Yu.S. |
| spellingShingle |
Kyrychenko, A.A. Samoılenko, Yu.S. On the spectrum and spectrum multiplicities of a sum of orthogonal projections Algebra and Discrete Mathematics |
| author_facet |
Kyrychenko, A.A. Samoılenko, Yu.S. |
| author_sort |
Kyrychenko, A.A. |
| title |
On the spectrum and spectrum multiplicities of a sum of orthogonal projections |
| title_short |
On the spectrum and spectrum multiplicities of a sum of orthogonal projections |
| title_full |
On the spectrum and spectrum multiplicities of a sum of orthogonal projections |
| title_fullStr |
On the spectrum and spectrum multiplicities of a sum of orthogonal projections |
| title_full_unstemmed |
On the spectrum and spectrum multiplicities of a sum of orthogonal projections |
| title_sort |
on the spectrum and spectrum multiplicities of a sum of orthogonal projections |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156422 |
| citation_txt |
On the spectrum and spectrum multiplicities of a sum of orthogonal projections / A.A. Kyrychenko, Yu.S. Samoılenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 71–76. — Бібліогр.: 9 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kyrychenkoaa onthespectrumandspectrummultiplicitiesofasumoforthogonalprojections AT samoılenkoyus onthespectrumandspectrummultiplicitiesofasumoforthogonalprojections |
| first_indexed |
2023-05-20T17:49:34Z |
| last_indexed |
2023-05-20T17:49:34Z |
| _version_ |
1796154188273549312 |