Interpolation sets and the size of quotients of function spaces on a locally compact group |
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Author: | Filali, Mahmoud1; Galindo, Jorge2 |
Organizations: |
1Department of Mathematical Sciences, University of Oulu, Oulu, Finland 2Instituto Universitario de Matemáticas y Aplicaciones (IMAC), Universidad Jaume I, E-12071, Castellón, Spain |
Format: | article |
Version: | accepted version |
Access: | open |
Online Access: | PDF Full Text (PDF, 0.4 MB) |
Persistent link: | http://urn.fi/urn:nbn:fi-fe2019040811471 |
Language: | English |
Published: |
American Mathematical Society,
2017
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Publish Date: | 2019-04-08 |
Description: |
AbstractWe devise a fairly general method for estimating the size of quotients between algebras of functions on a locally compact group. This method is based on the concept of interpolation set we introduced and studied recently and unifies the approaches followed by many authors to obtain particular cases. We find in this way that there is a linear isometric copy of \(\ell _\infty (\kappa )\) in each of the following quotient spaces:
see all
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Series: |
Transactions of the American Mathematical Society |
ISSN: | 0002-9947 |
ISSN-E: | 1088-6850 |
ISSN-L: | 0002-9947 |
Volume: | 369 |
Pages: | 575 - 603 |
DOI: | 10.1090/tran6662 |
OADOI: | https://oadoi.org/10.1090/tran6662 |
Type of Publication: |
A1 Journal article – refereed |
Field of Science: |
111 Mathematics |
Subjects: | |
Funding: |
The research of the second author was partially supported by the Spanish Ministry of Science (including FEDER funds), grant MTM2011-23118 and Fundació Caixa Castelló-Bancaixa, grant number P1$⋅$1B2014-35. |
Copyright information: |
© Copyright 2016 American Mathematical Society. |