Abstract

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.
Original languageEnglish
Pages (from-to)33-42
JournalUral Mathematical Journal
Volume4
Issue number2 (7)
DOIs
Publication statusPublished - 2018

GRNTI

  • 27.00.00 MATHEMATICS

Level of Research Output

  • VAK List

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