# The case where the sum of three partial reflections is equal to zero

A.S. Mellit
### Abstract

Up to unitary equivalence, we describe all irreducible triples of self-adjoint operators $A_1$, $A_2$, $A_3$ such that $\sigma(A_i)\subset \{−1, 0, 1\}$, $i = 1, 2, 3$, and $A_1 + A_2 + A_3 = 0$.

Publication

*Ukrainian Math. J.* 55 (2003), no. 9, 1542–1550