摘要

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.
源语言English
页(从-至)33-42
期刊Ural Mathematical Journal
4
2 (7)
DOI
Published - 2018

GRNTI

  • 27.00.00 MATHEMATICS

Level of Research Output

  • VAK List

指纹 探究 'SOME PROPERTIES OF OPERATOR EXPONENT' 的科研主题。它们共同构成独一无二的指纹。

引用此