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Numerical Radius Attaining Operators and the Radon‐Nikodym Property
Author(s) -
Acosta María D.,
Payá Rafael
Publication year - 1993
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/25.1.67
Subject(s) - mathematics , property (philosophy) , radius , radon , pure mathematics , mathematical analysis , computer science , physics , epistemology , philosophy , computer security , quantum mechanics
We prove that, for any Banach space X , the set of operators on X whose adjoints attain their numerical radii is dense in the space of all operators. We also show the denseness of the set of numerical radius attaining operators on a Banach space with the Radon‐Nikodym property.