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Muñoz-Fernández, Gustavo A. and Pellegrino, D. and Seoane-Sepúlveda, Juan B. and Weber, A. (2014) Supremum Norms for 2-Homogeneous Polynomials on Circle Sectors. Journal of Convex Analysis, 21 (3). pp. 743-764. ISSN 0944-6532
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Official URL: http://www.heldermann-verlag.de/jca/jca21/jca1310_b.pdf
Abstract
We consider the Banach space of two homogeneous polynomials endowed with the supremum norm parallel to . parallel to(D(beta)) over circle sectors D(beta) of angle beta for several values of beta is an element of [0, 2 pi]. We provide an explicit formula for parallel to . parallel to(D(beta)), a full description of the extreme points of the corresponding unit balls, and a parametrization and a plot of their unit spheres. This work is an extension of a series of papers on the same topic published in the last decade and it has a number of applications to obtain polynomial-type inequalities
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Bernstein and Markov inequalities; Unconditional constants; Polarizations constants; Polynomial inequalities; Homogeneous polynomials; Extreme points |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 28163 |
| Deposited On: | 10 Feb 2015 09:27 |
| Last Modified: | 28 Nov 2016 09:27 |
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