Riesz bases and positive operators on Hilbert space
It is shown that a normalized Riesz basis for a Hilbert space H (i.e., the isomorphic image of an orthonormal basis in H) induces in a natural way a new, but equivalent, inner product on H in which it is an orthonormal basis, thereby extending the sense in which Riesz bases and orthonormal bases are...
Saved in:
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2003-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171203202349 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|