𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Rank One Perturbations with Infinitesimal Coupling

✍ Scribed by A. Kiselev; B. Simon

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
386 KB
Volume
130
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Rank one perturbations of Jacobi matrice
Rank one perturbations of Jacobi matrices with mixed spectra
✍ R. del Rio; M. Kudryavtsev; L. Silva πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 155 KB

## Abstract Let __A__ be a self‐adjoint operator and __Ο†__ its cyclic vector. In this work we study spectral properties of rank one perturbations of __A__ __A~ΞΈ~__ = __A__ + __ΞΈ__ γ€ˆ__Ο†__ , ·〉__Ο†__ in relation to their dependence on the real parameter __ΞΈ__ . We find bounds on averages of spectr

Rank One Perturbations in a Pontryagin S
Rank One Perturbations in a Pontryagin Space with One Negative Square
✍ Vladimir Derkach; Seppo Hassi; Henk de Snoo πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 428 KB

Let N 1 denote the class of generalized Nevanlinna functions with one negative square and let N 1, 0 be the subclass of functions Q(z) Β₯ N 1 with the additional properties lim y Q . Q(iy)/y=0 and lim sup y Q . y |Im Q(iy)| < .. These classes form an analytic framework for studying (generalized) rank

Rank One Perturbations, Approximations,
Rank One Perturbations, Approximations, and Selfadjoint Extensions
✍ S. Albeverio; P. Kurasov πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 331 KB

of a semibounded selfadjoint operator A are studied with the help of distribution theory. It is shown that such perturbations can be defined for finite values of : even if the element . does not belong to H &1 (A). Approximations of the rank one perturbations are constructed in the strong operator t

On perturbations of finite rank
On perturbations of finite rank
✍ William Stenger πŸ“‚ Article πŸ“… 1969 πŸ› Elsevier Science 🌐 English βš– 543 KB