Presentation
A Note on the Computable Categoricity of l(p) Spaces
Lecture Notes in Computer Science
Document Type
Conference Proceeding
Disciplines
Conference
11th Conference on Computability in Europe (CiE 2015)
Publication Version
Submitted Manuscript
Link to Published Version
http://dx.doi.org/10.1007/978-3-319-20028-6_27
Publication Date
1-1-2015
DOI
10.1007/978-3-319-20028-6_27
Conference Title
Evolving Computability
Conference Date
June 29-July 3, 2015
Geolocation
(44.4267674, 26.102538399999958)
Abstract
Suppose that p is a computable real and that p >= 1. We show that in both the real and complex case, l(p) is computably categorical if and only if p = 2. The proof uses Lamperti's characterization of the isometries of Lebesgue spaces of sigma-finite measure spaces.
Copyright Owner
Springer International Publishing Switzerland
Copyright Date
2015
Language
en
File Format
application/pdf
Citation Information
Timothy H. McNicholl. "A Note on the Computable Categoricity of l(p) Spaces" Bucharest, RomaniaLecture Notes in Computer Science Vol. 9136 (2015) p. 268 - 275 Available at: http://works.bepress.com/timothy-mcnicholl/31/
This is a manuscript of a proceeding published as McNicholl, T., A Note on the Computable Categoricity of l(p) Spaces, Evolving Computability, Proceedings of the 11th Conference on Computability in Europe, Lecture Notes in Computer Science, 9136 (2015): 268, doi: 10.1007/978-3-319-20028-6_27. Posted with permission. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-20028-6_27.