Borg-Marchenko-type Uniqueness Results for CMV Operators
Abstract
We prove local and global versions of Borg-Marchenko-type uniqueness theorems for half-lattice and full-lattice CMV operators (CMV for Cantero, Moral, and Velazquez \cite{CMV03}). While our half-lattice results are formulated in terms of Weyl-Titchmarsh functions, our full-lattice results involve the diagonal and main off-diagonal Green's functions.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2008
- DOI:
- 10.48550/arXiv.0803.3175
- arXiv:
- arXiv:0803.3175
- Bibcode:
- 2008arXiv0803.3175C
- Keywords:
-
- Mathematics - Spectral Theory;
- Mathematical Physics;
- 34E05;
- 34B20;
- 34L40;
- 34A55
- E-Print:
- 18 pages