Abstract
In this paper, we extend the definition of the ρ-numerical radius to Banach spaces. In order to do so, we use one of the classical characterizations of the C ρ classes, which can be naturally extended. Then, we give a first study of this concept. Some of the properties given in the Banach case are original, but most of them are a generalization of the Hilbert case, even if the proofs have to be done in completely different ways.
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© 2004 Birkhäuser Verlag Basel/Switzerland
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Carrot, L. (2004). ρ-Numerical Radius in Banach Spaces. In: Gaşpar, D., Timotin, D., Zsidó, L., Gohberg, I., Vasilescu, FH. (eds) Recent Advances in Operator Theory, Operator Algebras, and their Applications. Operator Theory: Advances and Applications, vol 153. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7314-8_5
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DOI: https://doi.org/10.1007/3-7643-7314-8_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7127-2
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