Decomposition of spectrum (functional analysis)
The spectrum of a linear operator that operates on a Banach space (a fundamental concept of functional analysis) consists of all scalars such that the operator does not have a bounded inverse on . The spectrum has a standard decomposition into three parts:
* a point spectrum, consisting of the eigenvalues of ;
* a continuous spectrum, consisting of the scalars that are not eigenvalues but make the range of a proper dense subset of the space;
* a residual spectrum, consisting of all other scalars in the spectrum.
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Decomposition of spectrum (functional analysis)
The spectrum of a linear operator that operates on a Banach space (a fundamental concept of functional analysis) consists of all scalars such that the operator does not have a bounded inverse on . The spectrum has a standard decomposition into three parts:
* a point spectrum, consisting of the eigenvalues of ;
* a continuous spectrum, consisting of the scalars that are not eigenvalues but make the range of a proper dense subset of the space;
* a residual spectrum, consisting of all other scalars in the spectrum.
has abstract
Een continu spectrum is een ei ...... t algemeen een lijnenspectrum.
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Espectro contínuo é um espectr ...... ntínua de comprimento de onda.
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The spectrum of a linear opera ...... by excited atoms of hydrogen.
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数学の関数解析学の分野において、あるバナッハ空間 （関数解析 ...... よって放射される光のと連続帯の説明に、この概念が用いられる。
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1,024,875,818
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date
May 2015
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reason
Why should they be related? The definition is quite different.
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Een continu spectrum is een ei ...... t vlak) spectrum is roze ruis.
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Espectro contínuo é um espectr ...... o, emite um espectro contínuo.
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The spectrum of a linear opera ...... other scalars in the spectrum.
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数学の関数解析学の分野において、あるバナッハ空間 （関数解析 ...... よって放射される光のと連続帯の説明に、この概念が用いられる。
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label
Continu spectrum
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Decomposition of spectrum (functional analysis)
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Espectro contínuo
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スペクトル分解 (関数解析学)
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