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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2004.1
- 수록면
- 167 - 173 (7page)
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초록· 키워드
오류제보하기
Given vectors x and y in a separable Hilbert space H, an interpolating
operator is a bounded operator A such that Ax = y. In this article, we investigate
Hilbert-Schmidt interpolation problems for vectors in a tridiagonal algebra. We
show the following: Let L be a subspace lattice acting on a separable complex
Hilbert space H and let x = (xi) and y = (yi) be vectors in H. Then the following
are equivalent:
(1) There exists a Hilbert-Schmidt operator A = (aij) in AlgL such that Ax = y.
(2) There is a bounded sequence f??ng in C such that P1 n=1 j??nj2 < 1 and
y1 = ??1x1 + ??2x2
...
y2k = ??4k¡1x2k
y2k+1 = ??4kx2k + ??4k+1x2k+1 + ??4k+1x2k+2
for k 2 N.
목차
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