Examples of 'spectral theorem' in a sentence
Meaning of "spectral theorem"
spectral theorem - In mathematics, the spectral theorem is a result related to the eigenvalues and eigenvectors of linear operators
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- a theorem providing conditions under which an operator or matrix can be diagonalized
How to use "spectral theorem" in a sentence
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spectral theorem
The spectral theorem has many variants.
Normal operators are characterized by the spectral theorem.
This is the spectral theorem for normal operators.
Resolutions of the identity and the spectral theorem.
The spectral theorem extends to a more general class of matrices.
This proves the spectral theorem.
The spectral theorem says that every normal matrix is unitarily equivalent to some diagonal matrix.
This is the spectral theorem.
These basic facts play an important role in the proof of the spectral theorem below.
A generalization of the spectral theorem holds for continuous normal operators in Hilbert spaces.
This relationship is characterized by the Spectral Theorem.
The spectral theorem gives an integral formula for normal operators on a Hilbert space.
There is also a formulation of the spectral theorem in terms of direct integrals.
In general, spectral theorem for self-adjoint operators may take several equivalent forms.
This is the crux of proof for spectral theorem in the matricial case.
See also
The spectral theorem for compact self-adjoint linear operators in Hilbert spaces.
This can be seen as a consequence of the spectral theorem for normal operators.
The famous spectral theorem holds for self-adjoint operators.
Singular value decomposition, a generalisation of spectral theorem to arbitrary matrices.
There is also a spectral theorem for self-adjoint operators that applies in these cases.
It 's a result of the spectral theorem.
There is however a spectral theorem for self-adjoint operators that applies in many of these cases.
Properties = = Normal operators are characterized by the spectral theorem.
The direct-integral version of the spectral theorem may be expressed as follows, Theorem.
However, as noted above, the spectral theorem also holds for normal operators on a Hilbert space.
The decomposition theorem is a version of the spectral theorem in the particular case of matrices.
In more abstract language, the spectral theorem is a statement about commutative C * - algebras.
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I could pour it into a spectral analyzer or something
Spectral characteristics of light source and receiver
This is the case for spectral transformations
