Remarks on Measurability of Operator-Valued Functions

被引:0
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作者
Oscar Blasco
Ismael García-Bayona
机构
[1] Universidad de Valencia,Departmento de Análisis Matemático
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关键词
Primary 28B05; Secondary 46G10; Vector-valued measurable function; strong operator topology; weak operator topology;
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摘要
The aim of this paper is to consider operator-valued functions that can be approximated in the strong and weak operator topology by simple functions. We relate these notions with the classical formulations of measurability and provide conditions for their coincidence. A number of examples and counterexamples are exhibited.
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页码:5147 / 5162
页数:15
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