Journal of applied mathematics & informatics
- Volume 18 Issue 1_2
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- Pages.513-524
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
INTERPOLATION PROBLEMS IN ALGL
- JO YOUNG SOO (Dept. of Mathematics, Keimyung University) ;
- KANG JOO HO (Dept. of Mathematics, Daegu University)
- Published : 2005.03.01
Abstract
Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. Let L be a subspace lattice on H. We obtained a necessary and sufficient condition for the existence of an interpolating operator A which is in AlgL.