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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2004.1
- 수록면
- 511 - 517 (7page)
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 for n vectors satisfies the equation Txi = yi, for 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 =.n.i=1iEix :n 2 N;i 2 . and Ei 2 L.and M y =.n.i=1iEiy :n 2 N;i 2 . 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?,AA = AAand AE = EA for all E 2 L.(2)sup.k. ni=1 iEiykk. ni=1 iEiyk:n 2 N;i 2 . and Ei 2 L.< 1 ,M y M x and there is a vector h in M x such that hEy;xi = hEx;hi and hEy;yi = hEh;hi for all E in L.
목차
등록된 정보가 없습니다.
참고문헌 (7)
참고문헌 신청
/ 1957 / Irreducible Operator Algebras : 273 ~ 276
/ 1969 / Proc. London Math. Soc. 19 3 : 45 ~ 68
/ 1975 / Interpolation problems in nest algebras 3 : 208 ~ 233
/ 1980 / The equation Tx = y in a reflexive operator algebra 29 : 121 ~ 126
/ 1981 / Commutants modulo the compact operators of certainCSL algebras
/ 1969 / Proc. London Math. Soc. 19 3 : 45 ~ 68
/ 1975 / Interpolation problems in nest algebras 3 : 208 ~ 233
/ 1980 / The equation Tx = y in a reflexive operator algebra 29 : 121 ~ 126
/ 1981 / Commutants modulo the compact operators of certainCSL algebras
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