Ufa Mathematical Journal
    Volume 5, Number 4, pp. 75-81

    On Bernstein inequality for vectors in Banach spaces

    Dikarev E.E.


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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.