Abstract
The paper is devoted to trace formulas for nuclear operators in spaces of Bochner integrable functions. We characterise nuclearity for integral operators on such spaces and develop a trace formula for general kernels applying vector-valued maximal functions.
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Acknowledgments
This work has been supported by a Marie Curie International Incoming Fellowship of the European Commision 7th Framework Programme under contract number 301599. I would also like to thank an anonymous refeere for the valuable comments on the results and presentation helping to improve this manuscript.
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Communicated by A. Constantin.
This work has been supported by Marie Curie IIF 301599.
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Delgado, J. Trace formulas for nuclear operators in spaces of Bochner integrable functions. Monatsh Math 172, 259–275 (2013). https://doi.org/10.1007/s00605-013-0488-z
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DOI: https://doi.org/10.1007/s00605-013-0488-z