p -Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2

Author

Suzuki, Tomonari

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-02-16

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

We first prove characterizations of p-uniform convexity and q-uniform smoothness.

We next give a formulation on absolute normalized norms on ℂ2.

Using these, we present some examples of Banach spaces.

One of them is a uniformly convex Banach space which is not p-uniformly convex.

American Psychological Association (APA)

Suzuki, Tomonari. 2014. p -Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014715

Modern Language Association (MLA)

Suzuki, Tomonari. p -Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014715

American Medical Association (AMA)

Suzuki, Tomonari. p -Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014715

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014715