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Abstract:

We investigate the geometric structure of the unit ball of the Marcinkiewicz sequence space m0ψ, giving characterizations of its real and complex extreme points and of the exposed points in terms of the symbol ψ. Using our knowledge of the geometry of Bm0ψ we then give necessary and sufficient conditions for a subset of Bm0ψ to be a boundary for A u(Bm0ψ), the algebra of functions which are uniformly continuous on Bm0ψ and holomorphic on the interior of Bm 0ψ. We show that it is possible for the set of peak points of Au(Bm0ψ) to be a boundary for Au(Bm 0ψ) yet for Au(Bm0ψ) not to have a Šilov boundary in the sense of Globevnik. © 2008. Published by Oxford University Press. All rights reserved.

Registro:

Documento: Artículo
Título:Geometry and analytic boundaries of marcinkiewicz sequence spaces
Autor:Boyd, C.; Lassalle, S.
Filiación:School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
Departamento de Matemática, Pab. I-Ciudad Universitaria, (FCEN), Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Año:2010
Volumen:61
Número:2
Página de inicio:183
Página de fin:197
DOI: http://dx.doi.org/10.1093/qmath/han037
Título revista:Quarterly Journal of Mathematics
Título revista abreviado:Q. J. Math.
ISSN:00335606
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00335606_v61_n2_p183_Boyd

Referencias:

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Citas:

---------- APA ----------
Boyd, C. & Lassalle, S. (2010) . Geometry and analytic boundaries of marcinkiewicz sequence spaces. Quarterly Journal of Mathematics, 61(2), 183-197.
http://dx.doi.org/10.1093/qmath/han037
---------- CHICAGO ----------
Boyd, C., Lassalle, S. "Geometry and analytic boundaries of marcinkiewicz sequence spaces" . Quarterly Journal of Mathematics 61, no. 2 (2010) : 183-197.
http://dx.doi.org/10.1093/qmath/han037
---------- MLA ----------
Boyd, C., Lassalle, S. "Geometry and analytic boundaries of marcinkiewicz sequence spaces" . Quarterly Journal of Mathematics, vol. 61, no. 2, 2010, pp. 183-197.
http://dx.doi.org/10.1093/qmath/han037
---------- VANCOUVER ----------
Boyd, C., Lassalle, S. Geometry and analytic boundaries of marcinkiewicz sequence spaces. Q. J. Math. 2010;61(2):183-197.
http://dx.doi.org/10.1093/qmath/han037