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by Ciro Santilli (@cirosantilli, 37)

Spectrum (functional analysis)

 ... Area of mathematics Algebra Linear algebra Matrix Eigenvalues and eigenvectors Eigenvalue
 1 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my version
Set of eigenvalues of a linear operator.
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    • Continuous spectrum (functional analysis) Spectrum (functional analysis)

Continuous spectrum (functional analysis)

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Spectrum (functional analysis)
Unlike the simple case of a matrix, in infinite dimensional vector spaces, the spectrum may be continuous.
The quintessential example of that is the spectrum of the position operator in quantum mechanics, in which any real number is a possible eigenvalue, since the particle may be found in any position. The associated eigenvectors are the corresponding Dirac delta functions.

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Spectrum (functional analysis) by Wikipedia Bot 0  1970-01-01
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