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Spectrum (functional analysis)

In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a generalisation of the set of eigenvalues of a matrix. Specifically, a complex number λ {\displaystyle \lambda } is said to be in the spectrum of a bounded linear operator T {\displaystyle T} if T − λ I…

Art, Spectrum of a bounded operator & Classification of points in the spectrum

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Spectrum of a bounded operator

Definition

Basic properties

Classification of points in the spectrum

Spectrum of the adjoint operator

Spectra of particular classes of operators

Spectrum of a real operator

Spectrum of a unital Banach algebra

  • Unit Unit (ring theory)

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Spectrum (functional analysis)

Nodes69
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Triples0
Avg. degree1.97
Density0.028986
Components1

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displaystyle spectrum operator bounded lambda sigma mathrm mathbb set t- space eigenvalues closed example ess defined complex operators banach linear

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