Extreme integral polynomials on a complex Banach space
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Autores: Seán Dineen
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 92, Nº 1, 2003, págs. 129-140
- Idioma: inglés
- DOI: 10.7146/math.scand.a-14397
- Enlaces
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Resumen
We obtain upper and lower set-theoretic inclusion estimates for the set of extreme points of the unit balls of $\mathcal{P}_{I}({}^{n}\!E)$ and $\mathcal{P}_{N}({}^{n}\!E)$, the spaces of $n$-homogeneous integral and nuclear polynomials, respectively, on a complex Banach space $E$. For certain collections of Banach spaces we fully characterise these extreme points. Our results show a difference between the real and complex space cases.
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