Extreme integral polynomials on a complex Banach space

Authors

  • Seán Dineen

DOI:

https://doi.org/10.7146/math.scand.a-14397

Abstract

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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Published

2003-03-01

How to Cite

Dineen, S. (2003). Extreme integral polynomials on a complex Banach space. MATHEMATICA SCANDINAVICA, 92(1), 129–140. https://doi.org/10.7146/math.scand.a-14397

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Section

Articles