scholarly journals Exponential Riesz Bases, Discrepancy of Irrational Rotations and BMO

2011 ◽  
Vol 17 (5) ◽  
pp. 879-898 ◽  
Author(s):  
Gady Kozma ◽  
Nir Lev
Keyword(s):  
Riesz Bases ◽  
Irrational Rotations

REFLEXIVITY INDEX AND IRRATIONAL ROTATIONS

2021 ◽  
pp. 1-13
Author(s):  
BINGZHANG MA ◽  
K. J. HARRISON
Keyword(s):  
Topological Spaces ◽  
Closed Set ◽  
Irrational Rotations ◽  
Index 2

Abstract We determine the reflexivity index of some closed set lattices by constructing maps relative to irrational rotations. For example, various nests of closed balls and some topological spaces, such as even-dimensional spheres and a wedge of two circles, have reflexivity index 2. We also show that a connected double of spheres has reflexivity index at most 2.

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

scholarly journals Yet another generalization of frames and Riesz bases

2009 ◽  
Vol 2 (4) ◽  
pp. 397-409 ◽  
Author(s):  
Reza Joveini ◽  
Massoud Amini
Keyword(s):  
Riesz Bases
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