Conformal dimension does not assume values between zero and one

We prove that the conformal dimension of any metric space is at least one unless it is zero. This confirms a conjecture of J. T. Tyson [23, Conj. 1.2]

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Bibliographic Details
Published in:Duke mathematical journal 2006-07, Vol.134 (1), p.1-13
Main Author: Kovalev, Leonid V.
Format: Article
Language:English
Subjects:
46B20
47H06
51F99
Accretive operators
but in this section
dissipative operators
etc
Geometry and structure of normed linear spaces
None of the above
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Description
Summary:We prove that the conformal dimension of any metric space is at least one unless it is zero. This confirms a conjecture of J. T. Tyson [23, Conj. 1.2]
ISSN:0012-7094
1547-7398
DOI:10.1215/S0012-7094-06-13411-7