A characterization of positive normal functionals on the full operator algebra

被引：1
|
作者：
Sebestyen, Zoltan [1 ]
Tarcsay, Zsigmond [1 ]
Titkos, Tamas [2 ,3 ]
机构：
[1] Eotvos Lorand Univ, Dept Appl Anal, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary
[2] Hungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, Hungary
[3] BBS Univ Appl Sci, Alkotmany U 9, H-1054 Budapest, Hungary
来源：
DIVERSITY AND BEAUTY OF APPLIED OPERATOR THEORY | 2018年 / 268卷
关键词：
Krein-von Neumann extension; normal functionals; trace;
D O I：
10.1007/978-3-319-75996-8_24
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the recent theory of Krein-von Neumann extensions for positive functionals we present several simple criteria to decide whether a given positive functional on the full operator algebra B(H) is normal. We also characterize those functionals defined on the left ideal of finite rank operators that have a normal extension.
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页码：443 / 447
页数：5
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