Search results
Appearance
There is a page named "Gelfand spectrum" on Wikipedia
- 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 (1,753 words) - 17:13, 22 August 2024
- Berkovich space (redirect from Berkovich spectrum)commutative C*-algebra then the Berkovich spectrum is the same as the Gelfand spectrum. A point of the Gelfand spectrum is essentially a homomorphism to C {\displaystyle...10 KB (1,582 words) - 08:56, 7 November 2023
- Rigged Hilbert space (redirect from Gelfand triple)In mathematics, a rigged Hilbert space (Gelfand triple, nested Hilbert space, equipped Hilbert space) is a construction designed to link the distribution...6 KB (841 words) - 08:13, 9 July 2024
- commutative Gelfand–Naimark theorem) states that any commutative C*-algebra is isomorphic to an algebra of continuous functions on its Gelfand spectrum. It can...6 KB (669 words) - 20:52, 13 July 2024
- Moreover, their prime spectrum deformation retracts onto the maximal spectrum. Mulvey, Christopher J. (1979), "A generalisation of Gelʹfand duality.", J. Algebra...2 KB (190 words) - 18:31, 2 March 2024
- Banach algebra (redirect from Spectrum of a commutative Banach algebra)is normal, the Gelfand representation is isometric; in particular, it is injective and its image is closed. But the image of the Gelfand representation...17 KB (2,602 words) - 13:01, 17 July 2024
- using a generalization of the notion of Gelfand spectrum for commutative unital C*-algebras. The Berkovich spectrum of a Banach k-algebra A is the set of...7 KB (985 words) - 19:08, 12 April 2022
- characterizations in terms of states of A. The spectrum of a commutative C*-algebra A coincides with the Gelfand dual of A (not to be confused with the dual...12 KB (1,753 words) - 20:34, 24 January 2024
- In operator theory, the Gelfand–Mazur theorem is a theorem named after Israel Gelfand and Stanisław Mazur which states that a Banach algebra with unit...2 KB (270 words) - 06:52, 10 May 2021
- are now known as von Neumann algebras. Around 1943, the work of Israel Gelfand and Mark Naimark yielded an abstract characterisation of C*-algebras making...20 KB (2,829 words) - 11:21, 17 April 2024
- Marchenko equation (redirect from Gelfand-Levitan-Marchenko equation)problem, the Marchenko equation (or Gelfand-Levitan-Marchenko equation or GLM equation), named after Israel Gelfand, Boris Levitan and Vladimir Marchenko...3 KB (501 words) - 09:48, 18 August 2024
- Spectrum of a C*-algebra Positive element Positive linear functional operator algebra nest algebra reflexive operator algebra Calkin algebra Gelfand representation...5 KB (475 words) - 23:38, 19 July 2023
- Rosenberg, Noncommutative smooth spaces, The Gelfand Mathematical Seminars, 1996–1999, 85–108, Gelfand Math. Sem., Birkhäuser, Boston 2000; arXiv:math/9812158...3 KB (190 words) - 21:03, 8 May 2022
- collaboration with Israel Gelfand in the 1930s and 1940s led to several fundamental results in functional analysis, including the 1943 Gelfand–Naimark theorem and...9 KB (989 words) - 16:44, 31 October 2023
- 29–30. Gelfand & Shilov 1966–1968, p. 212. The numerical factors depend on the conventions for the Fourier transform. Bracewell 1986. Gelfand & Shilov...93 KB (13,792 words) - 13:12, 7 July 2024
- Spectral radius (section Gelfand's formula)elements of the spectrum: ρ ( A ) = sup λ ∈ σ ( A ) | λ | {\displaystyle \rho (A)=\sup _{\lambda \in \sigma (A)}|\lambda |} Gelfand's formula, also known...15 KB (2,652 words) - 22:30, 7 April 2024
- 90 (8): 4836–4845. doi:10.1210/jc.2004-2063. PMID 15840738. Sherwin BB, Gelfand MM, Brender W (1985). "Androgen enhances sexual motivation in females:...49 KB (4,954 words) - 02:09, 22 August 2024
- Spectral theory (section A definition of spectrum)this to address Banach algebras in general. This development leads to the Gelfand representation, which covers the commutative case, and further into non-commutative...32 KB (4,668 words) - 11:23, 22 May 2024
- Cefotaxime (section Spectrum of activity)a broad-spectrum antibiotic with activity against numerous gram-positive and gram-negative bacteria.[citation needed] Given its broad spectrum of activity...18 KB (1,679 words) - 21:41, 26 April 2024
- White noise analysis (section Gelfand triples)\left\langle \psi _{n},f^{\otimes n}\right\rangle .} Depending on the choice of Gelfand triple, the white noise test functions and distributions are characterized...12 KB (1,909 words) - 23:05, 1 February 2024
- self-adjoint (unbounded) operator H on a Hilbert space 𝔥 and its spectrums. The contribution of Gelfand in 1940 was in associating a commutative Banach algebra
- metrization theorem Chapter 6. C*-algebras (October 30, 2008) Gelfand transformation, Spectrum of a commutative Banach algebra, Functional calculus, GNS construction