What question did this study set out to answer?

The aim is to establish a framework for Noether operators in normless linear spaces and examine their properties.

April 23, 2026

Algebraic Variant of Noether Operator Theory

NPN. B. PleshchinskiiKazan Federal University

Key Points

The aim is to establish a framework for Noether operators in normless linear spaces and examine their properties.
Constructed the theory of Noether operators in linear spaces without norm and topology.
Investigated the correspondence among elements defined by Noether operators.
Identified necessary and sufficient conditions for the Noetherness of linear operators.
Determined specific properties of characteristic Noether operators.
Developed methods for the regularization of these operators.
Provided significant conditions that validate the existence of Noether operators.

Abstract

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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Cite This Study

N. B. Pleshchinskii (Mon,) studied this question.

synapsesocial.com/papers/69e9b71b85696592c86eb157 https://doi.org/https://doi.org/10.1134/s1995080225612524

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