ИЗОМЕТРИИ ОБОБЩЕННЫХ LOG-АЛГЕБР
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Abstract
В настоящей статье вводится обобщенное понятие log-алгебр, которые являются F-пространствами функций интегрируемых с логарифмом. В последней теореме доказано необходимое и достаточное условие изометричности этих F-пространств.
Annotation.In this paper, we introduce a generalized concept of log-algebras, which are F-spaces of functions integrable with a logarithm. In the last theorem, a necessary and sufficient condition for the isometricity of these F-spaces is proved.
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References
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