On the spectrum and spectrum multiplicities of a sum of orthogonal projections

dc.contributor.author	Kyrychenko, A.A.
dc.contributor.author	Samoılenko, Yu.S.
dc.date.accessioned	2019-06-18T13:32:11Z
dc.date.available	2019-06-18T13:32:11Z
dc.date.issued	2004
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156422
dc.description.abstract	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)
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On the spectrum and spectrum multiplicities of a sum of orthogonal projections	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA