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Investigates Noether operators' properties in linear spaces, suggesting conditions for their effectiveness.
The theory of Noether operators in linear spaces without a norm and without topology is constructed. The correspondence between the elements of spaces established by the Noether operator is investigated. The necessary and sufficient conditions for the Noetherness of the linear operator are obtained. The properties of characteristic Noether operators and methods of their regularization are considered.
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N. B. Pleshchinskii (2025) studied this question.
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