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A Trace Formula for Nuclear Operators on L p

Julio Delgado-2009-01-01-Birkhäuser Basel eBooks
21

TL;DRAbstract

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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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.

Keywords

TRACE (psycholinguistics)CorollaryTrace classMathematicsPseudodifferential operatorsCharacterization (materials science)Nuclear operatorPure mathematics

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