Universidad Complutense de Madrid
E-Prints Complutense

The unit ball of the complex P(H-3)

Impacto

Downloads

Downloads per month over past year

Grecu, B.C. and Muñoz-Fernández, Gustavo A. and Seoane-Sepúlveda, Juan B. (2009) The unit ball of the complex P(H-3). Mathematische Zeitschrift, 263 . pp. 775-785. ISSN 0025-5874

[img] PDF
Restringido a Repository staff only

232kB

URLURL Type
http://www.springerlink.comPublisher


Abstract

Let H be a two-dimensional complex Hilbert space and P(H-3) the space of 3-homogeneous polynomials on H. We give a characterization of the extreme points of its unit ball, B-P(3H), from which we deduce that the unit sphere of P(H-3) is the disjoint union of the sets of its extreme and smooth points. We also show that an extreme point of B-P(3H) remains extreme as considered as an element of B-L(3H). Finally we make a few remarks about the geometry of the unit ball of the predual of P(H-3) and give a characterization of its smooth points.


Item Type:Article
Uncontrolled Keywords:Unconditional constant; Polynomial inequalities; Trinomials; Homogeneous polynomials; Extreme points
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:16965
Deposited On:05 Nov 2012 11:26
Last Modified:28 Nov 2016 09:30

Origin of downloads

Repository Staff Only: item control page