Riesz Basicity for General Systems of Functions-Reference-Cited by-同舟云学术

Riesz Basicity for General Systems of Functions

Published:2014 Issue: Volume:2014 Page:1-3
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Sarsenbi A. M.¹,Terekhin P. A.²

Affiliation:

1. Department of Mathematics, M. Auezov South Kazakhstan State University, Tauke Han Avenue 5, Shymkent 160012, Kazakhstan

2. Department of Mechanics and Mathematics, N. G. Chernyshevsky Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia

Abstract

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.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2014/860279.pdf

Reference11 articles.

1. An Introduction to Frames and Riesz Bases

2. Basis Properties of Eigenfunctions of Second-Order Differential Operators with Involution

3. Spectral Properties of Non-Self-Adjoint Perturbations for a Spectral Problem with Involution

4. Necessary and sufficient conditions for the Riesz basis property of the eigen- and associated functions of high-order differential operators on an interval

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