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Abstract:

We show that if E is a real Banach space such that E′ has the approximation property and such that ℓ1 → ⊗ n,s,e,E, then the set of extreme points of the unit ball of PI (nE) is equal to {± Φn: Φ ∈ E′ ∥ Φ ∥ = 1}. Under the additional assumption that E′ has a countable norming set, we see that the set of exposed points of the unit ball of PI(nE) is also equal to {± Φn Φisin; E′ ∥ Φ ∥ © 2009 American Mathematical Society.

Registro:

Documento: Artículo
Título:Extreme and exposed points of spaces of integral polynomials
Autor:Boyd, C.; Lassalle, S.
Filiación:School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
Departamento de Matemática, Pab. i - Cuidad Universitaria (FCEN), Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Palabras clave:Exposed points; Extreme points; Integral polynomials
Año:2010
Volumen:138
Número:4
Página de inicio:1415
Página de fin:1420
DOI: http://dx.doi.org/10.1090/S0002-9939-09-10158-2
Título revista:Proceedings of the American Mathematical Society
Título revista abreviado:Proc. Am. Math. Soc.
ISSN:00029939
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v138_n4_p1415_Boyd

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Citas:

---------- APA ----------
Boyd, C. & Lassalle, S. (2010) . Extreme and exposed points of spaces of integral polynomials. Proceedings of the American Mathematical Society, 138(4), 1415-1420.
http://dx.doi.org/10.1090/S0002-9939-09-10158-2
---------- CHICAGO ----------
Boyd, C., Lassalle, S. "Extreme and exposed points of spaces of integral polynomials" . Proceedings of the American Mathematical Society 138, no. 4 (2010) : 1415-1420.
http://dx.doi.org/10.1090/S0002-9939-09-10158-2
---------- MLA ----------
Boyd, C., Lassalle, S. "Extreme and exposed points of spaces of integral polynomials" . Proceedings of the American Mathematical Society, vol. 138, no. 4, 2010, pp. 1415-1420.
http://dx.doi.org/10.1090/S0002-9939-09-10158-2
---------- VANCOUVER ----------
Boyd, C., Lassalle, S. Extreme and exposed points of spaces of integral polynomials. Proc. Am. Math. Soc. 2010;138(4):1415-1420.
http://dx.doi.org/10.1090/S0002-9939-09-10158-2