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Existence of product vectors and their partial conjugates in a pair of spaces

2014.03.24 19:01

실적년도	2011 년
논문구분	국외
총저자	YOUNG-HOON KIEM, SEU SEUNG-HYEOK KYE
학술지명	Journal of mathematical physics
권(Vol.)	52
호(No.)	12
게재년월	년 월
Impact Factor
SCI 등재	SCI
비고

Existence of product vectors and their partial conjugates in a pair of spaces
by Young-Hoon Kiem, Seung-Hyeok Kye and Jungseob Lee

Abstract. Let D and E be subspaces of the tensor product of the m and n
dimensional complex spaces, with codimensions k and ℓ, respectively. We show
that if k+ℓ < m+n−2 then there must exist a product vector in D whose partial
conjugate lies in E. If k + ℓ > m+ n − 2 then there may not exist such a product
vector. If k + ℓ = m+ n − 2 then both cases may occur depending on k and ℓ.

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