A characterization of Jordan and Lebesgue measures

Zs. Jakab; M. Laczkovich

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Displaying similar documents to “A characterization of Jordan and Lebesgue measures”

Translation equation and the Jordan non-measurable continuous functions

Zenon Moszner (2017)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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A connection between the continuous translation equation and the Jordan non-measurable continuous functions is given.

On a problem of Marczewski

J. Doob (1948)

Colloquium Mathematicae

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Finite-tight sets

Liviu Florescu (2007)

Open Mathematics

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We introduce two notions of tightness for a set of measurable functions - the finite-tightness and the Jordan finite-tightness with the aim to extend certain compactness results (as biting lemma or Saadoune-Valadier’s theorem of stable compactness) to the unbounded case. These compactness conditions highlight their utility when we look for some alternatives to Rellich-Kondrachov theorem or relaxed lower semicontinuity of multiple integrals. Finite-tightness locates the great growths...

Some theorems on Borel-measurable functions

G. Lederer (1963)

Colloquium Mathematicae

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Jordan superderivations and Jordan triple superderivations of superalgebras

He Yuan, Liangyun Chen (2016)

Colloquium Mathematicae

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We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.

On Jordan *-derivations and an application

Peter Šemrl (1990)

Colloquium Mathematicae

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On Jordan mappings of inverse semirings

Sara Shafiq, Muhammad Aslam (2017)

Open Mathematics

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In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.