Meaning of proper value | Babel Free

Definitions

An eigenvalue.

dated

Examples

“1961 [Oxford University Press], Sterling K. Berberian, Introduction to Hilbert Space, American Mathematical Society (AMS Chelsea), 1999, Reprint, page 178, In this terminology, Theorem 1 asserts that every non-zero proper value of a CC-operator has finite multiplicity. This result is not always helpful, for there exist CC-operators having no proper values at all:”

“Thus any proper value of AA* is a proper value of A*A.”

“– 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.”

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