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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2004.1
- 수록면
- 117 - 124 (8page)
이용수
초록· 키워드
오류제보하기
Given vectors x and y in a Hilbert space, an interpolating operator is a bounded operator T such that Tx = y. An interpolating operator forn vectors satisfies the equation Txi = yi for all i = 1 ;2; ;n. In this paper the following is proved : Let H be a Hilbert space and L be a commutative subspace lattice on H. Let x and y be vectors in H. Let M x =(nXi=1iEix :n 2 N;i 2 C and Ei 2 L) and M y =(nXi=1iEiy :n 2 N;i 2 C and Ei 2 L): Then the following are equivalent. (1)There exists an operator A in AlgL such that Ax = y,Af = 0 for all f in M x?,AE = EA for all E 2 L and A is invertible. (2)supkP ni=1 iEiykkP ni=1 iEixk:n 2 N;i 2 C and Ei 2 L< 1 ,supkP ni=1 iEixkkP ni=1 iEiyk:n 2 N;i 2 C and Ei 2 L< 1 and M x and M y are densei n H.
목차
등록된 정보가 없습니다.
참고문헌 (5)
참고문헌 신청
/ 1957 / Irreducible Operator Algebras : 273 ~ 276
/ 1975 / Interpolation problems in nest algebras 3 : 208 ~ 233
/ 1980 / The equation Tx = y in a re°exive operator algebra 29 : 121 ~ 126
/ 1981 / Commutants modulo the compact operators of certainCSL algebras : 105 ~ 120
/ 1989 / Hilbert-Schmidt interpolation in CSL algebras 4 : 657 ~ 672
/ 1975 / Interpolation problems in nest algebras 3 : 208 ~ 233
/ 1980 / The equation Tx = y in a re°exive operator algebra 29 : 121 ~ 126
/ 1981 / Commutants modulo the compact operators of certainCSL algebras : 105 ~ 120
/ 1989 / Hilbert-Schmidt interpolation in CSL algebras 4 : 657 ~ 672
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