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There is a page named "Hahn decomposition theorem" on Wikipedia
- In mathematics, the Hahn decomposition theorem, named after the Austrian mathematician Hans Hahn, states that for any measurable space ( X , Σ ) {\displaystyle...10 KB (1,767 words) - 08:23, 23 September 2023
- In mathematics, Jordan decomposition may refer to Hahn decomposition theorem, and the Jordan decomposition of a measure Jordan normal form of a matrix...422 bytes (87 words) - 21:18, 29 November 2011
- part. Decomposition of spectrum Hahn decomposition theorem and the corresponding Jordan decomposition theorem (Halmos 1974, Section 32, Theorem C) (Hewitt...4 KB (543 words) - 04:50, 28 November 2023
Hahn–Banach theorem and (independently of Banach and Steinhaus) the uniform boundedness principle. Other theorems include: the Hahn decomposition theorem; the...11 KB (1,102 words) - 16:56, 27 December 2023- the Hahn decomposition theorem is called the Jordan decomposition. The measures μ+, μ− and |μ| are independent of the choice of P and N in the Hahn decomposition...9 KB (1,215 words) - 18:16, 22 September 2023
- Positive and negative sets (section Hahn decomposition)hold, and therefore, μ ( E ) = 0. {\displaystyle \mu (E)=0.} The Hahn decomposition theorem states that for every measurable space ( X , Σ ) {\displaystyle...3 KB (569 words) - 08:19, 14 April 2022
- decomposition theorem of a signed measure Helmholtz decomposition, decomposition of a vector field Indecomposable continuum Lebesgue's decomposition theorem...3 KB (370 words) - 00:14, 17 May 2024
- spaces. The spectral theorem also provides a canonical decomposition, called the spectral decomposition, of the underlying vector space on which the operator...25 KB (3,630 words) - 02:59, 18 May 2024
- three-lines theorem (complex analysis) Hadwiger's theorem (geometry, measure theory) Hahn decomposition theorem (measure theory) Hahn embedding theorem (ordered...73 KB (5,996 words) - 17:15, 5 May 2024
- the Hopf extension theorem and the Hahn–Kolmogorov extension theorem. Several very similar statements of the theorem can be given. A slightly more involved...15 KB (2,685 words) - 17:08, 21 January 2024
- Banach Tarski Paradoxical Decomposition)is a theorem in set-theoretic geometry, which states the following: Given a solid ball in three-dimensional space, there exists a decomposition of the...47 KB (6,706 words) - 12:59, 29 June 2024
- is the required function. Lebesgue's decomposition theorem shows that the assumptions of the Radon–Nikodym theorem can be found even in a situation which...23 KB (3,596 words) - 08:59, 4 June 2024
to this decomposition of a function, one may decompose a signed measure into positive and negative parts — see the Hahn decomposition theorem. Rectifier...4 KB (516 words) - 01:59, 7 June 2024- :\Sigma \to [-\infty ,+\infty ]} is a signed measure. Use the Hahn decomposition theorem to write μ = μ + − μ − , {\displaystyle \mu =\mu ^{+}-\mu ^{-}...11 KB (1,918 words) - 09:58, 21 July 2023
- Banach's theorem)paradox, the Hahn–Banach theorem, the Banach–Steinhaus theorem, the Banach–Mazur game, the Banach–Alaoglu theorem, and the Banach fixed-point theorem. Stefan...26 KB (2,699 words) - 18:24, 23 February 2024
- Hadwiger's theorem – Theorem in integral geometry Hahn decomposition theorem – Measurability theorem Invariant measure Lebesgue's decomposition theorem Positive...42 KB (7,477 words) - 01:50, 6 May 2024
- Puiseux's theorem)more. Hahn series are a further (larger) generalization of Puiseux series, introduced by Hans Hahn in the course of the proof of his embedding theorem in...32 KB (5,533 words) - 07:12, 17 June 2024
- S2CID 119301206. Gowers, Timothy (2010). "Decompositions, approximate structure, transference, and the Hahn–Banach theorem". Bulletin of the London Mathematical...13 KB (1,500 words) - 14:24, 16 February 2024
- practical use. Of earlier machines those of Leibnitz, Müller (1782), and Hahn (1809) deserve to be mentioned (see Dyck, Catalogue). Thomas’s machine has
- Topology, Hamel basis, Hahn-Banach theorem Chapter 2. Banach spaces (Sep 1, 2007) Open mapping theorem, closed graph theorem, compact operators Chapter