Multiplicities, invariant subspaces and an additive formula

Arup Chattopadhyay, Jaydeb Sarkar, Srijan Sarkar

Let $T=(T_1,\dots ,T_n)$ be a commuting tuple of bounded linear operators on a Hilbert space $\mathcal{H}$. The multiplicity of $T$ is the cardinality of a minimal generating s…