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Více informací o knize Spear Operators Between Banach Spaces

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Anotace knihy

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 $T:X\longrightarrow Y$ there exists a modulus-one scalar $\omega$ such that $\ G + \omega\,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 $L_1$. 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 satisfying the Lipschitz version of the equation above are studied. The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Spear Operators Between Banach Spaces
• Autor: Vladimir Kadets, Miguel Martín, Javier Merí, Antonio Pérez
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 164
• EAN: 9783319713328
• ISBN: 3319713329
• ID: 18346295
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 296 g
• Rozměry: 154 × 234 × 18 mm
• Datum vydání: 17. April 2018

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