On the spectrum and spectrum multiplicities of a sum of orthogonal projections
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the spectrum and spectrum multiplicities of a sum of orthogonal projections
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| Creator |
Kyrychenko, A.A.
Samoılenko, Yu.S. |
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| 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)
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| Date |
2019-06-18T13:32:11Z
2019-06-18T13:32:11Z 2004 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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