Polynomial inequalities in Banach spaces

• Autorzy: Mirosław Baran
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 41A17: Inequalities in approximation (Bernstein, Jackson, Nikol\cprime ski{\u\i}-type inequalities)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2015
• Tom: 107
• Numer: 1
• Strony: 23-42

Daty

wydano

2015

Twórcy

autor

Mirosław Baran

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc107-0-3