𝔖 Bobbio Scriptorium
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Spectral shift function, amazing and multifaceted

✍ Scribed by M. Sh. Birman; A. B. Pushnitski


Publisher
SP Birkhäuser Verlag Basel
Year
1998
Tongue
English
Weight
455 KB
Volume
30
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES


The Spectral Shift Function and the Inva
✍ Alexander Pushnitski 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 308 KB

The new representation formula for the spectral shift function due to F. Gesztesy and K. A. Makarov is considered. This formula is extended to the case of relatively trace class perturbations. The proof is based on the analysis of a certain new unitary invariant for a pair of self-adjoint operators.

Weak asymptotics of the spectral shift f
✍ Vincent Bruneau; Mouez Dimassi 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 194 KB

## Abstract We consider the three‐dimensional Schrödinger operator with constant magnetic field of strength __b__ > 0, and with smooth electric potential. The weak asymptotics of the spectral shift function with respect to __b__ ↗ +∞ is studied. First, we fix the distance to the Landau levels, then

Concavity of Eigenvalue Sums and the Spe
✍ Vadim Kostrykin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 170 KB

It is well known that the sum of negative (positive) eigenvalues of some finite Hermitian matrix V is concave (convex) with respect to V. Using the theory of the spectral shift function we generalize this property to self-adjoint operators on a separable Hilbert space with an arbitrary spectrum. Mor