Spectrum (operator theory)   (translated from German)
Spectrum (operator theory) That Spectrum one (linear) operator is a term from that Funktionalanalysis one ... in the infinite-dimensional becomes in that Operator theory regarded. The spectrum operator can ...
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Spectrum of the operator   (translated from Russian)
Spectrum of the operator Let A - operator, who acts in the the linear topologicheskom ... number ? it is called regular for the operator A, if the operator of &.lt;.matyu&.gt;(.A - \.lambda ...
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Spectrum   (translated from German)
Spectrum On the basis of the original name ... and/or. the frequency has the term Spectrum a more complex meaning attains. With respect ... Wellenlaenge or that Frequenz . Examples: that electromagnetic spectrum, particularly that Lichtspektrum that Line spectrum (Absorption spectrum and Emission spectrum) an energy distribution ...
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Spectrum   (translated from Russian)
Spectrum In this term there are other values, cm. Spectrum (values). Spectrum (armor. from armor. - to look) - the set ... until now most frequently the term the spectrum it is used in the "historical" sense ... the spectra Two ideas of the optical spectrum: on top "natural" (seen in the ...
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Essential spectrum
Essential spectrum In mathematics, the essential spectrum of a bounded operator is a certain subset of its spectrum, defined by a condition of the type ... fails badly to be invertible". The essential spectrum of self-adjoint operators In formal ...
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Continuous spectrum
Continuous spectrum The introduction to this article provides insufficient ... subject matter. In mathematics and physics, continuous spectrum is, roughly speaking, a non-countable set of eigenvalues of an operator. An operator acting on a Hilbert space is said to have a continuous spectrum if its eigenvalues can be changed ...
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Spectrum (functional analysis)
Spectrum (functional analysis) In functional analysis, the concept of the spectrum of an element of a Banach algebra ... dimensional spaces. For example, the bilateral shift operator on the Hilbert space $\backslash ell^2\; ...\; shall\; see\; below\; that\; any\; bounded\; linear$operator on a complex Banach space must have non-empty spectrum. The study of the properties of ...
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Discrete spectrum
Discrete spectrum In mathematics and physics, discrete spectrum is a finite set or a countable set of eigenvalues of an operator. An operator acting on a Hilbert space is said to have a discrete spectrum if its eigenvalues cannot be changed ...
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Local operator   (translated from German)
Local operator That Local operator the mathematical object is, in that Quantenmechanik ... this area represented. That is special Local operator the summary of the three Observablen operator is a selbstadjungierter operator, its Spektrum ( ...
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Impulse operator   (translated from German)
Impulse operator That Impulse operator the mathematical object is, in that Quantenmechanik ... this area represented. That is special Impulse operator the summary of the three Observablen expressed. As a vector operator written is thus: $\backslash hat\{\backslash mathbf\{\; ...$
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