Saturday 28 April 2018

Operator Algebra Note 4 Frame Operator

Note 4
Frame Operator 



1
Hilbert space     H
Sequence of points in H     {xn}
Certain constants     0 <  B <    
x  H
A ||x||2 |<xxn>|2  ||x||2
{xn} is frame.
A is lower bound.
B is upper bound.
2
x  H
<xxn>||xn|| is convergent.
S : x  <xxn>xsatisfies S B.
is frame operator.

[References]




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