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A Trace Formula for Nuclear Operators on Lp

  • Julio Delgado
Part of the Operator Theory: Advances and Applications book series (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.

Keywords

Hilbert-Schmidt operators nuclear operators traces pseudo-differential operators 

Mathematics Subject Classification (2000)

Primary 47B38 Secondary 47B10 47G30 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  • Julio Delgado
    • 1
  1. 1.Universidad del ValleCalleCali-Colombia

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