Abstract and Applied Analysis

p -Uniform Convexity and q -Uniform Smoothness of Absolute Normalized Norms on 2

Tomonari Suzuki

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Abstract

We first prove characterizations of p -uniform convexity and q -uniform smoothness. We next give a formulation on absolute normalized norms on 2 . Using these, we present some examples of Banach spaces. One of them is a uniformly convex Banach space which is not p -uniformly convex.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 746309, 9 pages.

Dates
First available in Project Euclid: 7 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412687023

Digital Object Identifier
doi:10.1155/2014/746309

Mathematical Reviews number (MathSciNet)
MR3173288

Zentralblatt MATH identifier
07023006

Citation

Suzuki, Tomonari. $p$ -Uniform Convexity and $q$ -Uniform Smoothness of Absolute Normalized Norms on ${\Bbb C}^{2}$. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 746309, 9 pages. doi:10.1155/2014/746309. https://projecteuclid.org/euclid.aaa/1412687023


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