Skip Navigation

Journal of the London Mathematical Society 1980 s2-22(2):345-354; doi:10.1112/jlms/s2-22.2.345
© 1980 by London Mathematical Society
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 de Paepe, P. J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© Oxford University Press

Maximality in Function Algebras

P. J. de Paepe

Instituut voor Propedeutische Wiskunde, Universiteit van Amsterdam Roetersstraat 15, 1018 WB Amsterdam, The Netherlands

A function algebra A on a compact hausdorff space X is called maximal in a function algebra B on X if A subne B and if for any function algebra C on X with A sub C sub B, either C = A or else C = B. The situation for which the maximal ideal space of B can be regarded as a proper subset of the maximal ideal space of A will be considered. A large subclass consists of algebras A and B where B is gotten from A by adjoining to A functions which, in a certain way, depend analytically on elements of A. This exploits an idea of Cirka on joint spectra of elements of a function algebra.


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.