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Swiss cheeses and their applications

Abstract:

Swiss cheese sets have been used in the literature as useful examples in the study of rational approximation and uniform algebras. In this paper, we give a survey of Swiss cheese constructions and related results. We describe some notable examples of Swiss cheese sets in the literature. We explain the various abstract notions of Swiss cheeses, and how they can be manipulated to obtain desirable properties. In particular, we discuss the Feinstein-Heath classicalisation theorem and related resu...

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Publication status:
Published

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Publisher copy:
10.1090/conm/645

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-5971-7418
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Role:
Author
ORCID:
0000-0003-2672-1474
More from this funder
Name:
Engineering and Physical Sciences Research Council
Funder identifier:
http://dx.doi.org/10.13039/501100000266
Funding agency for:
Morley, S
More from this funder
Name:
China Tuition Fee Research Scholarship and the School of Mathematical Sciences
Funding agency for:
Yang, H
Publisher:
American Mathematical Society
Host title:
Function spaces in analysis
Journal:
Contemporary Mathematics More from this journal
Volume:
645
Pages:
99
Publication date:
2015-01-31
Acceptance date:
2015-01-15
Event title:
Seventh conference on function spaces
Event location:
Southern Illinois University at Edwardsville
Event website:
https://www.siue.edu/~dywilli/FunctionSpace/index.html
Event start date:
2014-05-20
Event end date:
2014-05-24
DOI:
EISSN:
1098-3627
ISSN:
0271-4132
Language:
English
Keywords:
Pubs id:
1122387
Local pid:
pubs:1122387
Deposit date:
2020-07-28

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