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Denseness of operators whose second adjoints attain their numerical radii


Authors: María D. Acosta and Rafael Paya
Journal: Proc. Amer. Math. Soc. 105 (1989), 97-101
MSC: Primary 47A12; Secondary 46B20, 47D15
DOI: https://doi.org/10.1090/S0002-9939-1989-0937841-3
MathSciNet review: 937841
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Abstract: We show that for any Banach space the set of (bounded linear) operators whose second adjoints attain their numerical radii is norm-dense in the space of all operators. In particular, the numerical radius attaining operators on a reflexive space are dense.


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DOI: https://doi.org/10.1090/S0002-9939-1989-0937841-3
Keywords: Numerical radius, operators on Banach spaces, reflexive Banach spaces
Article copyright: © Copyright 1989 American Mathematical Society

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