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Spectrum of an Operator
(redirected from Spectrum (functional analysis))

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Spectrum of an Operator 

The spectrum of the linear operator T is the set of numbers T for which the operator TʎE, where E is the identity operator, does not have an every where defined bounded inverse. The concept of the spectrum of an operator is a generalization of the concept of the set of eigenvalues of a matrix and is especially important for self-adjoint and unitary operators.



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