A SPECTRAL COMMUTANT LIFTING THEOREM

被引：38
|
作者：
BERCOVICI, H
FOIAS, C
TANNENBAUM, A
机构：
[1] UNIV MINNESOTA,DEPT ELECT ENGN,MINNEAPOLIS,MN 55455
[2] TECHNION ISRAEL INST TECHNOL,HAIFA,ISRAEL
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 325卷 / 02期
关键词：
COMMUTANT LIFTING THEOREM; DILATION THEORY; SPECTRAL RADIUS; INTERPOLATION THEORY;
D O I：
10.2307/2001646
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The commutant lifting theorem of [24] may be regarded as a very general interpolation theorem from which a number of classical interpolation results may be deduced. In this paper we prove a spectral version of the commutant lifting theorem in which one bonds the spectral radius of the interpolant and not the norm. We relate this to a spectral analogue of classical matricial Nevanlinna-Pick interpolation.
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页码：741 / 763
页数：23
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