𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convexity and concavity of eigenvalue sums

✍ Scribed by Elliott H. Lieb; Heinz Siedentop


Publisher
Springer
Year
1991
Tongue
English
Weight
246 KB
Volume
63
Category
Article
ISSN
0022-4715

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Concavity of Eigenvalue Sums and the Spe
✍ Vadim Kostrykin πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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