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LYAPUNOV'S THEOREM FOR CONTINUOUS FRAMES.
- Source :
-
Proceedings of the American Mathematical Society . Sep2018, Vol. 146 Issue 9, p3825-3838. 14p. - Publication Year :
- 2018
-
Abstract
- Akemann and Weaver (2014) have shown a remarkable extension of Weaver's KSr Conjecture (2004) in the form of approximate Lyapunov's theorem. This was made possible thanks to the breakthrough solution of the Kadison-Singer problem by Marcus, Spielman, and Srivastava (2015). In this paper we show a similar type of Lyapunov's theorem for continuous frames on non-atomic measure spaces. In contrast with discrete frames, the proof of this result does not rely on the recent solution of the Kadison-Singer problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 146
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 130701260
- Full Text :
- https://doi.org/10.1090/proc/14088