Properties of Pure Pseudorepresentations of Commutative Groups, Shtern AIстатья
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Дата последнего поиска статьи во внешних источниках: 17 августа 2021 г.
Аннотация:We prove that a bounded pure pseudorepresentationof the group of integers~$\Bbb Z$ with an arbitrarily small defect need not be anordinary representation of the group. We also prove that a bounded purepseudorepresentation with a sufficiently small defect of a commutative group on adual Banach space is an ordinary representation if and only if the image of thepseudorepresentation forms a commutative family of operators.