proper value

Noun

 * 1)  An eigenvalue.
 * 2) * 1961 [Oxford University Press], Sterling K. Berberian, Introduction to Hilbert Space, (AMS Chelsea), 1999, Reprint, page 178,
 * In this terminology, Theorem 1 asserts that every non-zero proper value of a CC-operator[completely continuous operator] has finite multiplicity. This result is not always helpful, for there exist CC-operators having no proper values at all:
 * 1) * 2010, F. Takens, A Vanderbauwhede, Local invariant manifolds and normal forms, H. Broer, F. Takens, B. Hasselblatt (editors), Handbook of Dynamical Systems, Volume 3, Elsevier (North-Holland), page 106,
 * The proper values of this linear mapping are:
 * – the proper values of L;
 * – for each proper value α of L|Ec and proper value β of L|Eu, the proper value α/β — from the assumptions it follows that this latter collection of proper values consists of contracting proper values only.
 * – for each proper value α of L|Ec and proper value β of L|Eu, the proper value α/β — from the assumptions it follows that this latter collection of proper values consists of contracting proper values only.

Usage notes

 * Formerly the standard term in English; replaced by during the course of the 20th century.