Resumo

We study operators given by series, in particular, operators of the form eB = ∑ n=0∞ Bn/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 functions of operators constructed (with the use of the Cauchy integral formula) on the basis of scalar functions and admitting a faster than power growth at infinity.
Idioma originalEnglish
Páginas (de-até)33-42
RevistaUral Mathematical Journal
Volume4
Número de emissão2 (7)
DOIs
Estado da publicaçãoPublished - 2018

GRNTI

  • 27.00.00 MATHEMATICS

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