SOME PROPERTIES OF OPERATOR EXPONENT

We study operators given by series, in particular, operators of the form \(e^B=\sum\limits_{n=0}^{\infty}{B^n}/{n!},\) where \(B\) is an operator acting in a Banach space \(X\). A corresponding example is provided. In our future research, we will use these operators for introducing and studying func...

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Bibliographic Details
Main Authors: Lyudmila F. Korkina, Mark A. Rekant
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2018-12-01
Series:Ural Mathematical Journal
Subjects:
Online Access:https://umjuran.ru/index.php/umj/article/view/131
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