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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 205))

Abstract

We establish a trace for nuclear operators on L p, this trace generalize a formula already known in the L 2 case. To prove this we first show a characterization of nuclear operators in the L p setting. As a corollary a formula for the trace of pseudo-differential operators on L p is obtained.

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Delgado, J. (2009). A Trace Formula for Nuclear Operators on L p . In: Schulze, BW., Wong, M.W. (eds) Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations. Operator Theory: Advances and Applications, vol 205. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0198-6_10

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