Riesz Basicity for General Systems of Functions

Joint Authors

Terekhin, P. A.
Sarsenbi, Abdizhakhan M.

Source

Journal of Function Spaces

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-3, 3 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-08-12

Country of Publication

Egypt

No. of Pages

3

Main Subjects

Mathematics

Abstract EN

In this paper we find the general conditions for a complete biorthogonal conjugate system to form a Riesz basis.

We show that if a complete biorthogonal conjugate system is uniformly bounded and its coefficient space is solid, then the system forms a Riesz basis.

We also construct affine Riesz bases as an application to the main result.

American Psychological Association (APA)

Sarsenbi, Abdizhakhan M.& Terekhin, P. A.. 2014. Riesz Basicity for General Systems of Functions. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-3.
https://search.emarefa.net/detail/BIM-1040731

Modern Language Association (MLA)

Sarsenbi, Abdizhakhan M.& Terekhin, P. A.. Riesz Basicity for General Systems of Functions. Journal of Function Spaces No. 2014 (2014), pp.1-3.
https://search.emarefa.net/detail/BIM-1040731

American Medical Association (AMA)

Sarsenbi, Abdizhakhan M.& Terekhin, P. A.. Riesz Basicity for General Systems of Functions. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-3.
https://search.emarefa.net/detail/BIM-1040731

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1040731