On Bernstein inequality for vectors in Banach spaces

Authors

  • E.E. Dikarev
    Voronezh State University, Voronezh, Russia

DOI:

https://doi.org/10.13108/2013-5-4-75

Keywords:

Banach modulus, isometric representation, Beurling spectrum, entire function, commutation operator.

Abstract

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.

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Published

20.12.2013

Issue

Vol. 5 No. 4 (2013): Ufa Mathematical Journal 2013, volume 5 , issue 4

Section

Article