Hilbert Theory of Trace and Interpolation Spaces

  • J. L. Lions
  • E. Magenes
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 181)


The aim of this chapter is to give the fundamental results of the theory of trace and interpolation spaces in the Hilbert case. Some indications about the possible generalizations to the non-Hilbert case are given in the Comments and in Section 14 along with the basic literature. Sections 10, 12 (except 12.1), 13–15, although used in the sequel, may be skipped on first reading.


Banach Space Compact Support Topological Vector Space Equivalent Norm Interpolation Space 
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Copyright information

© Springer-Verlag, Berlin Heidelberg 1972

Authors and Affiliations

  • J. L. Lions
    • 1
  • E. Magenes
    • 2
  1. 1.University of ParisFrance
  2. 2.University of PaviaItaly

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