Polynomial inequalities in Banach spaces

Mirosław Baran

Banach Center Publications (2015)

  • Volume: 107, Issue: 1, page 23-42
  • ISSN: 0137-6934

Abstract

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We point out relations between the injective complexification of a real Banach space and polynomial inequalities. In particular we prove a generalization of a classical Szegő inequality to the case of polynomial mappings between Banach spaces. As an application we observe a complex version of known Bernstein-Szegő type inequalities.

How to cite

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Mirosław Baran. "Polynomial inequalities in Banach spaces." Banach Center Publications 107.1 (2015): 23-42. <http://eudml.org/doc/282349>.

@article{MirosławBaran2015,
abstract = {We point out relations between the injective complexification of a real Banach space and polynomial inequalities. In particular we prove a generalization of a classical Szegő inequality to the case of polynomial mappings between Banach spaces. As an application we observe a complex version of known Bernstein-Szegő type inequalities.},
author = {Mirosław Baran},
journal = {Banach Center Publications},
keywords = {complexifications of real normed spaces; Bernstein-Markov inequality; Szegő inequality; extremal functions},
language = {eng},
number = {1},
pages = {23-42},
title = {Polynomial inequalities in Banach spaces},
url = {http://eudml.org/doc/282349},
volume = {107},
year = {2015},
}

TY - JOUR
AU - Mirosław Baran
TI - Polynomial inequalities in Banach spaces
JO - Banach Center Publications
PY - 2015
VL - 107
IS - 1
SP - 23
EP - 42
AB - We point out relations between the injective complexification of a real Banach space and polynomial inequalities. In particular we prove a generalization of a classical Szegő inequality to the case of polynomial mappings between Banach spaces. As an application we observe a complex version of known Bernstein-Szegő type inequalities.
LA - eng
KW - complexifications of real normed spaces; Bernstein-Markov inequality; Szegő inequality; extremal functions
UR - http://eudml.org/doc/282349
ER -

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