On operator interpolation problems

被引:0
|
作者
Jo, YS [1 ]
Kang, JH
Kim, KS
机构
[1] Keimyung Univ, Dept Math, Taegu 704701, South Korea
[2] Daegu Univ, Dept Math, Taegu 712714, South Korea
关键词
interpolation problem; subspace lattice; AlgL; CSL;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we obtained the following : Let H be a Hilbert space and L be a subspace lattice on H. Let X and Y be operators acting on X If the range of X is dense in H, then the following are equivalent: (1) there exists an operator A in AlgL such that AX = Y, (2) sup {parallel toE(perpendicular to)Yfparallel to/parallel toE(perpendicular to)Xfparallel to : f is an element of H, E is an element of L } = K < infinity. Moreover, if condition (2) holds, we may choose the operator A such that parallel toAparallel to = K.
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页码:423 / 433
页数:11
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