Article
Ufa Mathematical Journal
Volume 5, Number 4, pp. 75-81
On Bernstein inequality for vectors in Banach spaces
Dikarev E.E.
DOI:10.13108/2013-5-4-75
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We obtain the Bernstein inequality for the vectors in the Banach space of the isometric representation of a one-parametric group of the operators. We introduce the notion of an entire at infinity function. For such functions and for the norms of commutation operators we obtain the Bernstein inequality.