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  • especially functional analysis, a normal operator on a complex Hilbert space H {\displaystyle H} is a continuous linear operator N : H → H {\displaystyle N\colon...
    10 KB (1,544 words) - 22:01, 9 March 2025
  • perspective. Examples of operators to which the spectral theorem applies are self-adjoint operators or more generally normal operators on Hilbert spaces. The...
    25 KB (3,852 words) - 23:00, 22 April 2025
  • Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study...
    25 KB (4,463 words) - 08:26, 5 June 2025
  • mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may...
    12 KB (1,638 words) - 00:07, 26 January 2025
  • theory Normal number, a real number with a "uniform" distribution of digits Normal operator, an operator that commutes with its Hermitian adjoint Normal order...
    5 KB (580 words) - 21:03, 25 April 2025
  • A^{*}A=AA^{*}.} The concept of normal matrices can be extended to normal operators on infinite-dimensional normed spaces and to normal elements in C*-algebras...
    13 KB (1,665 words) - 01:24, 23 May 2025
  • In operator theory, quasinormal operators is a class of bounded operators defined by weakening the requirements of a normal operator. Every quasinormal...
    4 KB (562 words) - 02:22, 1 March 2023
  • unitarily diagonalizable if and only if it is normal. A corresponding result holds for normal compact operators on Hilbert spaces. More generally, the compactness...
    29 KB (4,868 words) - 02:28, 16 May 2025
  • especially operator theory, subnormal operators are bounded operators on a Hilbert space defined by weakening the requirements for normal operators. Some examples...
    8 KB (1,513 words) - 02:20, 1 March 2023
  • an operator is also in C. Note that C does not support operator overloading. When not overloaded, for the operators &&, ||, and , (the comma operator),...
    43 KB (1,963 words) - 02:44, 23 April 2025
  • annihilation operators, is usually said to be normal ordered (also called Wick order) when all creation operators are to the left of all annihilation operators in...
    21 KB (4,040 words) - 16:04, 11 April 2024
  • In computer programming, an operator is a programming language construct that provides functionality that may not be possible to define as a user-defined...
    19 KB (1,179 words) - 20:49, 6 May 2025
  • In functional analysis, a unitary operator is a surjective bounded operator on a Hilbert space that preserves the inner product. Non-trivial examples...
    9 KB (1,312 words) - 12:33, 12 April 2025
  • Thumbnail for Expected value
    the expected value (also called expectation, expectancy, expectation operator, mathematical expectation, mean, expectation value, or first moment) is...
    52 KB (7,614 words) - 16:31, 25 May 2025
  • mathematics, especially operator theory, a paranormal operator is a generalization of a normal operator. More precisely, a bounded linear operator T on a complex...
    2 KB (232 words) - 03:54, 30 November 2024
  • in linear algebra Normal operator in functional analysis This disambiguation page lists articles associated with the title Normal map. If an internal...
    224 bytes (59 words) - 05:08, 10 January 2019
  • functional analysis and operator theory, the notion of unbounded operator provides an abstract framework for dealing with differential operators, unbounded observables...
    32 KB (4,666 words) - 03:12, 31 May 2025
  • Operon (redirect from Operator (biology))
    produced by a regulator gene, but they are unable to bind to the operator in their normal conformation. However, certain molecules called corepressors are...
    23 KB (2,708 words) - 06:39, 28 May 2025
  • Thumbnail for Hilbert space
    Hilbert space (category Operator theory)
    self-adjoint operators can usefully be thought of as operators that are "real". An element A of B(H) is called normal if A*A = AA*. Normal operators decompose...
    128 KB (17,469 words) - 06:51, 28 May 2025
  • Thumbnail for Normal distribution
    (univariate) normal distribution. The variance structure of such Gaussian random element can be described in terms of the linear covariance operator K: H →...
    151 KB (22,720 words) - 15:27, 5 June 2025
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