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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 401 - 406 (6page)
이용수
초록· 키워드
오류제보하기
Given operators X and Y acting on a separable complex 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 operators in a
tridiagonal algebra and we get the following : Let L be a subspace lattice acting on a separable complex Hilbert space H and let X = (xij) and Y = (yij) be operators acting on 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
y1i = ®1x1i + ®2x2i y2k i = ®4k¡1x2k i y2k+1 i = ®4kx2k i + ®4k+1x2k+1 i + ®4k+2x2k+2 i for all i; k in N:
목차
등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
/ 1989 / Hilbert-Schmidt interpolation in CSL algebras / Illinois J. Math 33 (4) : 657 ~ 672
Gilfeather, F / 1981 / Commutants modulo the compact operators of certain CSL algebras / Operator Theory: Adv. Appl. (Birkhauser Basel ) 2 : 105 ~ 120
Hopenwasser, A / 1980 / The equation Tx = y in a reflexive operator algebra / Indiana Univer-sity Math. J 29 : 121 ~ 126
Jo, Y.S / 1989 / Isometris of tridiagonal algebras / Pacific J. Math 140 : 97 ~ 115
Jo, Y.S / 1990 / Isomorphisms of AlgLn and AlgL∞ / Michigan Math. J 37 : 305 ~ 314
Gilfeather, F / 1981 / Commutants modulo the compact operators of certain CSL algebras / Operator Theory: Adv. Appl. (Birkhauser Basel ) 2 : 105 ~ 120
Hopenwasser, A / 1980 / The equation Tx = y in a reflexive operator algebra / Indiana Univer-sity Math. J 29 : 121 ~ 126
Jo, Y.S / 1989 / Isometris of tridiagonal algebras / Pacific J. Math 140 : 97 ~ 115
Jo, Y.S / 1990 / Isomorphisms of AlgLn and AlgL∞ / Michigan Math. J 37 : 305 ~ 314
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