enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Spectrum (functional analysis) - Wikipedia

   en.wikipedia.org/wiki/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.

3. Spectral theory - Wikipedia

   en.wikipedia.org/wiki/Spectral_theory

   The spectrum of T is the set of all complex numbers ζ such that R ζ fails to exist or is unbounded. Often the spectrum of T is denoted by σ(T). The function R ζ for all ζ in ρ(T) (that is, wherever R ζ exists as a bounded operator) is called the resolvent of T. The spectrum of T is therefore the complement of the resolvent set of T in ...

4. Decomposition of spectrum (functional analysis) - Wikipedia

   en.wikipedia.org/wiki/Decomposition_of_spectrum...

   The spectrum of T restricted to H ac is called the absolutely continuous spectrum of T, σ ac (T). The spectrum of T restricted to H sc is called its singular spectrum, σ sc (T). The set of eigenvalues of T is called the pure point spectrum of T, σ pp (T). The closure of the eigenvalues is the spectrum of T restricted to H pp.

5. Gateway Academy, Scottsdale - Wikipedia

   en.wikipedia.org/wiki/Gateway_Academy,_Scottsdale

   Gateway Academy was established in 2005 and offers a private education for students from 6th through 12th grade with a diagnosis on the Autism spectrum. The average ratio of students to teachers is 5:1, which it claims results in individualized attention for every student.

6. Spectrum of a matrix - Wikipedia

   en.wikipedia.org/wiki/Spectrum_of_a_matrix

   In mathematics, the spectrum of a matrix is the set of its eigenvalues. [ 1 ] [ 2 ] [ 3 ] More generally, if T : V → V {\displaystyle T\colon V\to V} is a linear operator on any finite-dimensional vector space , its spectrum is the set of scalars λ {\displaystyle \lambda } such that T − λ I {\displaystyle T-\lambda I} is not invertible .

7. Discrete spectrum (mathematics) - Wikipedia

   en.wikipedia.org/.../Discrete_spectrum_(Mathematics)

   A point in the spectrum of a closed linear operator: in the Banach space with domain is said to belong to discrete spectrum of if the following two conditions are satisfied: [1] λ {\displaystyle \lambda } is an isolated point in σ ( A ) {\displaystyle \sigma (A)} ;