## Abstract The Bethe strip of width __m__ is the cartesian product \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {B}\times \lbrace 1,\ldots ,m\rbrace$\end{document}, where \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {B
On the absolutely continuous spectrum of block operator matrices
✍ Scribed by Sergio Albeverio; Alexei Konstantinov
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 129 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We prove an abstract theorem on the preservation of the absolutely continuous spectrum for block operator matrices. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
## Abstract We explicitely compute the absolutely continuous spectrum of the Laplace–Beltrami operator for __p__ ‐forms for the class of warped product metrics __dσ__ ^2^ = __y__ ^2__a__^ __dy__ ^2^ + __y__ ^2__b__^ __dθ__ ^2^, where __y__ is a boundary defining function on the unit ball __B__ (0,
## Abstract We show that when a potential __b~n~__ of a discrete Schrödinger operator, defined on __l__^2^(ℤ^+^), slowly oscillates satisfying the conditions __b~n~__ ∈ __l__^∞^ and ∂__b~n~__ = __b__~__n__ +1~ – __b~n~__ ∈ __l^p^__, __p__ < 2, then all solutions of the equation __Ju__ = __Eu__ are
We represent the real hyperbolic space H" as the rank one homogeneous space Spin (1, n)/ Spin (n) and the spinor bundle S of H as the homogeneous bundle Spin (1, n) x (",V, where V, is the spinor representation space of Spin (n). The representation theoretic decomposition of L2(H, S) combined with t