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Carvalho, L., Diogo, C., Mendes, S. & Soares, H. (N/A). A note on the essential numerical range of block diagonal operators. Forum Mathematicum. N/A
L. C. Carvalho et al., "A note on the essential numerical range of block diagonal operators", in Forum Mathematicum, vol. N/A, N/A
@article{carvalhoN/A_1721684066312, author = "Carvalho, L. and Diogo, C. and Mendes, S. and Soares, H.", title = "A note on the essential numerical range of block diagonal operators", journal = "Forum Mathematicum", year = "N/A", volume = "N/A", number = "", doi = "10.1515/forum-2023-0166", url = "https://www.degruyter.com/document/doi/10.1515/forum-2023-0166/html" }
TY - JOUR TI - A note on the essential numerical range of block diagonal operators T2 - Forum Mathematicum VL - N/A AU - Carvalho, L. AU - Diogo, C. AU - Mendes, S. AU - Soares, H. PY - N/A SN - 0933-7741 DO - 10.1515/forum-2023-0166 UR - https://www.degruyter.com/document/doi/10.1515/forum-2023-0166/html AB - In this note we characterize the essential numerical range of a block diagonal operator T = ⊕i T_i in terms of the numerical ranges {W (T_i )}i of its components. Specifically, the essential numerical range of T is the convex hull of the limit superior of {W (Ti )}i . This characterization can be simplified further. In fact, we prove the existence of a decomposition of T for which the convex hull is not required. ER -