Spear Operators Between Banach Spaces
This monograph is devoted to the study of spear operators, that is, bounded linear operators G between Banach spaces X and Y satisfying that for every other bounded linear operator T:X ¿ Y there exists a modulus-one scalar ¿ such that¿ G+¿T¿ = 1 + ¿T¿.This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on L1. The relationships with the Radon-Nikodým property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satis…
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Produktdetails
Weitere Autoren: Martín, Miguel / Merí, Javier / Pérez, Antonio
- ISBN: 978-3-319-71332-8
- EAN: 9783319713328
- Produktnummer: 24717869
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2018
- Seitenangabe: 164 S.
- Masse: H23.5 cm x B15.5 cm x D1.0 cm 289 g
- Abbildungen: Book; Bibliographie
- Reihenbandnummer: 2205
- Gewicht: 289
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