Abstract
Let $\mathcal{H}$ be a separable Hilbert space and let $\mathcal{A} \in \mathcal{B}(\mathcal{H})$. In this note the notion of a total decomposition is introduced, and it is shown that sometimes the block numerical ranges corresponding to a total decomposition approximate $\sigma(A),$ sometimes not.
Citation
Abbas Salemi. "Total decomposition and block numerical range." Banach J. Math. Anal. 5 (1) 51 - 55, 2011. https://doi.org/10.15352/bjma/1313362979
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