# Polynomial inequalities in Banach spaces

Banach Center Publications (2015)

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

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topMirosław 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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