Email this article An estimate of the norm of the Cauchy operator for linear differential equations
- Authors: Perov A.I.1
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Affiliations:
- Voronezh State University
- Issue: Vol 53, No 3 (2017)
- Pages: 429-432
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/154328
- DOI: https://doi.org/10.1134/S0012266117030132
- ID: 154328
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Abstract
We obtain a necessary and sufficient condition for the norm of the exponential of a linear operator on a Banach space not to exceed the exponential of its spectral radius. The condition is stated in terms of the logarithmic norm of the original operator.
About the authors
A. I. Perov
Voronezh State University
Author for correspondence.
Email: anperov@mail.ru
Russian Federation, Voronezh, 394006
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