It is shown that a maximal eigenvalue of a rank-one perturbed, compact, self-adjoint operator is automatically simple, if the norm of perturbation is large enough.
On the Maximal Width of Empty Lattice Simplices
✍ Scribed by Christian Haase; Günter M. Ziegler
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 116 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
✦ Synopsis
We construct d-dimensional empty lattice simplices of arbitrarily high volume from (d -1)dimensional ones, while preserving the lattice width. In particular, we give an example of infinitely many empty 4-simplices of width 2.
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