Geometry and analytic boundaries of marcinkiewicz sequence spaces
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 condi...
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todo:paper_00335606_v61_n2_p183_Boyd2023-10-03T14:45:44Z Geometry and analytic boundaries of marcinkiewicz sequence spaces Boyd, C. Lassalle, S. 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. Fil:Lassalle, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00335606_v61_n2_p183_Boyd |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Boyd, C. Lassalle, S. |
| spellingShingle |
Boyd, C. Lassalle, S. Geometry and analytic boundaries of marcinkiewicz sequence spaces |
| author_facet |
Boyd, C. Lassalle, S. |
| author_sort |
Boyd, C. |
| title |
Geometry and analytic boundaries of marcinkiewicz sequence spaces |
| title_short |
Geometry and analytic boundaries of marcinkiewicz sequence spaces |
| title_full |
Geometry and analytic boundaries of marcinkiewicz sequence spaces |
| title_fullStr |
Geometry and analytic boundaries of marcinkiewicz sequence spaces |
| title_full_unstemmed |
Geometry and analytic boundaries of marcinkiewicz sequence spaces |
| title_sort |
geometry and analytic boundaries of marcinkiewicz sequence spaces |
| url |
http://hdl.handle.net/20.500.12110/paper_00335606_v61_n2_p183_Boyd |
| work_keys_str_mv |
AT boydc geometryandanalyticboundariesofmarcinkiewiczsequencespaces AT lassalles geometryandanalyticboundariesofmarcinkiewiczsequencespaces |
| _version_ |
1807320778543202304 |