On the commutant of asymptotically non-vanishing contractions

被引：3
|
作者：
Geher, Gyoergy Pal [1 ]
Kerchy, Laszlo [2 ]
机构：
[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary
[2] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary
来源：
PERIODICA MATHEMATICA HUNGARICA | 2011年 / 63卷 / 02期
关键词：
commutant mapping; unitary asymptote; contraction; POWER-BOUNDED OPERATORS; INVARIANT SUBSPACES;
D O I：
10.1007/s10998-011-8191-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The injectivity of the commutant mapping of asymptotically nonvanishing contractions is examined. We show that this mapping can be injective even in the presence of a non-trivial stable subspace. Various characterizations of injectivity are provided.
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页码：191 / 203
页数：13
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