THE DOUBLE OPERATION OF NILPOTENT AND DUAL OPERATIONS
Keywords:
operator, composition of operators, nilpotent operator, height (index) of nilpotent operator, special operator, special operatorright set of operatorsAbstract
In this article, it is proved that any non-nilpotent eigenoperator can be represented by a unique method in the form of a proper sum of nilpotent and eigenoperators. It was also shown that nilpotent operators have all eigenvalues equal to zero, and vice versa, if an operator has all eigenvalues equal to zero, then this operator is a nilpotent operator.
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Published
2024-11-25
How to Cite
Rahmatullaevich, U. H. ., & Rahmatullaevich, G. H. . (2024). THE DOUBLE OPERATION OF NILPOTENT AND DUAL OPERATIONS. JOURNAL OF THEORY, MATHEMATICS AND PHYSICS, 3(11), 52–58. Retrieved from http://jtmp.innovascience.uz/index.php/journal/article/view/216
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