• spectrum of a linear operator T {\displaystyle T} that operates on a Banach space X {\displaystyle X} is a fundamental concept of functional analysis...
    26 KB (3,809 words) - 05:57, 18 January 2025
  • In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a...
    30 KB (5,807 words) - 18:05, 25 June 2025
  • decomposition for linear operator: spectral theorem Decomposition of spectrum (functional analysis) This disambiguation page lists articles associated with the...
    267 bytes (59 words) - 18:55, 10 June 2020
  • "Resolvent set", Encyclopedia of Mathematics, EMS Press Resolvent formalism Spectrum (functional analysis) Decomposition of spectrum (functional analysis)...
    3 KB (453 words) - 05:29, 4 February 2024
  • discrete spectrum of T {\displaystyle T} . Spectrum (functional analysis) Resolvent formalism Decomposition of spectrum (functional analysis) Discrete...
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  • }(L)=\emptyset .} Spectrum (functional analysis) Decomposition of spectrum (functional analysis) Normal eigenvalue Essential spectrum Spectrum of an operator...
    5 KB (851 words) - 01:58, 10 April 2023
  • This is a list of functional analysis topics. See also: Glossary of functional analysis. Bra–ket notation Definite bilinear form Direct integral Euclidean...
    5 KB (475 words) - 23:38, 19 July 2023
  • _{2}}=P_{\Gamma _{2}}P_{\Gamma _{1}}=0.} Spectrum (functional analysis) Decomposition of spectrum (functional analysis) Spectrum of an operator Resolvent formalism...
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  • linear algebra Spectrum (functional analysis), a generalization of the concept of matrix eigenvalues to operators Spectrum of a graph, studied in spectral...
    8 KB (982 words) - 09:34, 27 May 2025
  • spectral analysis Riesz projector Self-adjoint operator Spectrum (functional analysis), Resolvent formalism, Decomposition of spectrum (functional analysis) Spectral...
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  • In order to consider something to fall under the spectrum of analytic, it must demonstrate a functional relationship and it must be provable. Baer et al...
    93 KB (10,574 words) - 23:23, 26 June 2025
  • Thumbnail for Spectrum
    the multiset of the eigenvalues of the matrix. In functional analysis, the concept of the spectrum of a bounded operator is a generalization of the eigenvalue...
    6 KB (946 words) - 14:43, 21 April 2025
  • Thumbnail for Spectrum (physical sciences)
    modeled with tools of functional analysis, specifically by the decomposition of the spectrum of a linear operator acting on a functional space. In classical...
    22 KB (2,733 words) - 20:30, 23 May 2025
  • Thumbnail for Functional magnetic resonance imaging
    Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique...
    115 KB (15,093 words) - 00:30, 24 June 2025
  • _{\mathrm {ess} ,5}(A).} Decomposition of spectrum (functional analysis) Discrete spectrum (mathematics) Essential spectrum Fredholm operator Operator theory...
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  • Decomposition of spectrum Hahn decomposition theorem and the corresponding Jordan decomposition theorem Spectrum (functional analysis) § Classification...
    6 KB (860 words) - 21:58, 6 July 2025
  • and spectrum of a multiplication operator on any Lp space. Translation operator Shift operator Transfer operator Decomposition of spectrum (functional analysis)...
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  • Autism (redirect from Autism spectrum)
    Autism, also known as autism spectrum disorder (ASD), is a neurodevelopmental disorder characterized by differences or difficulties in social communication...
    213 KB (21,553 words) - 02:24, 7 July 2025
  • Thumbnail for Mass spectral interpretation
    electrons > pi bond electrons > sigma bond electrons. The peak in the mass spectrum with the greatest intensity is called the base peak. The peak corresponding...
    24 KB (2,826 words) - 18:35, 11 December 2023
  • formalism is a technique for applying concepts from complex analysis to the study of the spectrum of operators on Banach spaces and more general spaces. Formal...
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  • only a holomorphic functional calculus exists. If one wants to extend the natural functional calculus for polynomials on the spectrum σ ( a ) {\displaystyle...
    24 KB (4,323 words) - 22:12, 17 March 2025
  • In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) is either of two things: a way of representing commutative...
    12 KB (1,815 words) - 20:45, 25 April 2025
  • Thumbnail for Fetal alcohol spectrum disorder
    significant impairment in functional behavior because of underlying brain damage. Many indications of fetal alcohol spectrum disorders are developmental...
    138 KB (15,872 words) - 14:51, 12 June 2025
  • Thumbnail for Spectrum analyzer
    designed to enable a new class of geographically-distributed spectrum monitoring and analysis applications. The key attribute is the ability to connect the...
    30 KB (3,806 words) - 07:54, 30 June 2025
  • In commutative algebra, the prime spectrum (or simply the spectrum) of a commutative ring R {\displaystyle R} is the set of all prime ideals of R {\displaystyle...
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  • In functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative...
    11 KB (1,698 words) - 08:50, 30 January 2025
  • Banach space (category Functional analysis)
    In mathematics, more specifically in functional analysis, a Banach space (/ˈbɑː.nʌx/, Polish pronunciation: [ˈba.nax]) is a complete normed vector space...
    102 KB (17,049 words) - 16:58, 14 April 2025
  • Thumbnail for Harmonic spectrum
    2\omega ,\dots \}.} A standard result of Fourier analysis is that a function has a harmonic spectrum if and only if it is periodic. Fourier series Harmonic...
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  • In the mathematical discipline of functional analysis, the concept of a compact operator on Hilbert space is an extension of the concept of a matrix acting...
    29 KB (4,868 words) - 02:28, 16 May 2025
  • Thumbnail for Hilbert space
    success of Hilbert space methods ushered in a very fruitful era for functional analysis. Apart from the classical Euclidean vector spaces, examples of Hilbert...
    128 KB (17,469 words) - 06:51, 28 May 2025