On the relation between S-spectrum and right spectrum

LuÍs Carvalho, Cristina Diogo, Sérgio Mendes +1

We use the $\mathbb{R}$-linearity of $I\lambda -T$ to define $\sigma (T)$, the right spectrum of a right $\mathbb{H}$-linear operator $T$ in a right quaternionic Hilbert space. We show that $σ(…