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Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
Article . 2011
Data sources: CyberLeninka - Russian open access scientific library
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О задаче Хаагерупа о субаддитивных весах на алгебрах

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 Russian Publisher:Федеральное государственное автономное образовательное учреждение высшего образования «Казанский (Приволжский) федеральный университет»Journal:Известия высших учебных заведений. Математика (issn: 0021-3446, eissn: 2076-4626, Copyright policy )

О задаче Хаагерупа о субаддитивных весах на алгебрах

Abstract

У.Хаагеруп в 1975 г. поставил следующую задачу: будет ли каждый нормальный субаддитивный вес на W*-алгебре сигма-слабо полунепрерывным снизу? В этой работе дано положительное решение задачи для случая абелевых W*-алгебр и найден общий вид нормальных субаддитивных весов на этих алгебрах.

Keywords

C*-ALGEBRA,W*-ALGEBRA,СУБАДДИТИВНЫЙ ВЕС,SUBADDITIVE WEIGHT,ИЗМЕРИМАЯ ФУНКЦИЯ,MEASURABLE FUNCTION,C*-АЛГЕБРА,W*-АЛГЕБРА

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze