scholarly journals A Note on Riesz Bases of Eigenvectors for a Class of Nonanalytic Operator Functions

2006 ◽  
Vol 36 (2) ◽  
pp. 487-496 ◽  
Author(s):  
M. Hasanov ◽  
B. Ünalmış Uzun ◽  
N. Çolakoğlu
Keyword(s):  
Riesz Bases ◽  
Operator Functions

New characterizations of g-frames and g-Riesz bases

2018 ◽  
Vol 16 (06) ◽  
pp. 1850053 ◽  
Author(s):  
Dongwei Li ◽  
Jinsong Leng ◽  
Tingzhu Huang
Keyword(s):  
Riesz Basis ◽  
Riesz Bases ◽  
Gram Matrix ◽  
Necessary Condition ◽  
Topological Properties ◽  
Bessel Sequence ◽  
Bessel Sequences ◽  
Sufficient And Necessary Condition

In this paper, we give some new characterizations of g-frames, g-Bessel sequences and g-Riesz bases from their topological properties. By using the Gram matrix associated with the g-Bessel sequence, we present a sufficient and necessary condition under which the sequence is a g-Bessel sequence (or g-Riesz basis). Finally, we consider the excess of a g-frame and obtain some new results.

Riesz bases of solutions of Sturm-Liouville equations

2001 ◽  
Vol 7 (3) ◽  
pp. 297-307 ◽  
Author(s):  
Xionghui He ◽  
Hans Volkmer
Keyword(s):  
Riesz Bases ◽  
Sturm Liouville
Sign in / Sign up

Export Citation Format

Share Document