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.

引用

页码：191 / 203

页数：13

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