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Bracic, J. & Diogo, C. (2016). Operators with a given part of the numerical range. Mathematica Slovaca. 66 (1), 275-280
J. Bracic and C. I. Diogo, "Operators with a given part of the numerical range", in Mathematica Slovaca, vol. 66, no. 1, pp. 275-280, 2016
@article{bracic2016_1715048974758, author = "Bracic, J. and Diogo, C.", title = "Operators with a given part of the numerical range", journal = "Mathematica Slovaca", year = "2016", volume = "66", number = "1", doi = "10.1515/ms-2015-0134", pages = "275-280", url = "http://dx.doi.org/10.1515/ms-2015-0134" }
TY - JOUR TI - Operators with a given part of the numerical range T2 - Mathematica Slovaca VL - 66 IS - 1 AU - Bracic, J. AU - Diogo, C. PY - 2016 SP - 275-280 SN - 0139-9918 DO - 10.1515/ms-2015-0134 UR - http://dx.doi.org/10.1515/ms-2015-0134 AB - Sets of operators which have a given set of numbers in the numerical range are studied. We prove an interesting result which characterizes the set of operators that have 0 in the convex hull of its spectrum. Along the way we give a simpler proof of the well known Hildebrandt’s theorem. ER -