Premium
New geometric properties of Banach spaces
Author(s) -
Saito KichiSuke,
Tanaka Ryotaro
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400180
Subject(s) - mathematics , convexity , banach space , norm (philosophy) , pure mathematics , smoothness , eberlein–šmulian theorem , duality (order theory) , lp space , banach manifold , mathematical analysis , financial economics , law , economics , political science
In this paper, we introduce new geometric properties as generalizations of p ‐uniform smoothness and q ‐uniform convexity of Banach spaces. Furthermore, using generalized Beckner's inequality, we characterize the properties in terms of norm inequalities. As an application, we consider the duality relation.