Skip to main content

All Questions

Filter by
Sorted by
Tagged with
8 votes
4 answers
379 views

Traceless Hermitian matrices with simultaneously vanishing Rayleigh quotients

Let $D$ be an integer greater than 1. What is the largest number $N$, such that for all sets of $N$ Hermitian $D\times D$ traceless matrices $M_i$, $i=1,\dots,N$, there exists a non-zero complex ...
Michał Jan's user avatar
2 votes
0 answers
75 views

Smallest dimension, on which a set of matrices acts non-trivially

Let $A_i$, $i=1,\dots,N$, be a finite set of $D<\infty$ dimensional Hermitian matrices. Let $d$ be the smallest number for which there exists a unitary $D$-dimensional matrix $U$, and Hermitian $d$-...
Michał Jan's user avatar