Decomposability of Operators in Type ${\mathrm{I}}_k$ von Neumann Algebras

Ajay Kumar Karri

Let $\mathcal{H}$ be a complex Hilbert space and $\mathcal{B}(\mathcal{H})$ be the algebra of all bounded linear operators on $\mathcal{H}$. For $A\in \mathcal{B}(\mathcal{H})$, w…