Skip Navigation



The Quarterly Journal of Mathematics Advance Access published online on January 7, 2009
The Quarterly Journal of Mathematics, doi:10.1093/qmath/han037
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Boyd, C.
Right arrow Articles by Lassalle, S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2009. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

GEOMETRY AND ANALYTIC BOUNDARIES OF MARCINKIEWICZ SEQUENCE SPACES

Christopher Boyd{dagger}

School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland

Silvia Lassalle {ddagger}

Departamento de Matemática, Pab. I – Ciudad Universitaria, (FCEN), Universidad de Buenos Aires, (1428) Buenos Aires, Argentina

{dagger} Corresponding author. E-mail: Christopher.Boyd{at}ucd.ie

Received 12 February 2008; revised 28 November 2008
  Abstract

We investigate the geometric structure of the unit ball of the Marcinkiewicz sequence space Formula , giving characterizations of its real and complex extreme points and of the exposed points in terms of the symbol {Psi}. Using our knowledge of the geometry of Formula we then give necessary and sufficient conditions for a subset of Formula to be a boundary for Formula , the algebra of functions which are uniformly continuous on Formula and holomorphic on the interior of Formula . We show that it is possible for the set of peak points of Formula to be a boundary for Formula yet for Formula not to have a Silov boundary in the sense of Globevnik.

{ddagger} E-mail: slassall{at}dm.uba.ar


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.