A representation theorem for $AC(R^n)^*$

Korvin, A. de; Easton, R.J.

Displaying similar documents to “A representation theorem for $A C {(R^{n})}^{*}$ ”

Variational measures in the theory of the integration in $ℝ^{m}$

Luisa Di Piazza (2001)

Czechoslovak Mathematical Journal

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We study properties of variational measures associated with certain conditionally convergent integrals in $ℝ^{m}$ . In particular we give a full descriptive characterization of these integrals.

Adjoint spaces of abstract $L_{p}$ spaces

Porcelli, Pasquale (1966)

Portugaliae mathematica

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Functions Riemann-Stieltjes integrable against themselves

Gregory, M.B., Metzger, J.M. (1975)

Portugaliae mathematica

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On functions of bounded (p,2)-variation.

Nelson Merentes (1992)

Collectanea Mathematica

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A representation theorem for the second dual of C[0,1]

R. Mauldin (1973)

Studia Mathematica

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Representation of linear functionals on local $L_{p}$ -spaces

Chivukula, R. Rao (1970)

Portugaliae mathematica

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Radon-Nikodym property for vector-valued integrable functions

Surjit Singh Khurana (1978)

Annales de l'institut Fourier

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It is proved that if a Frechet space $E$ has $R - N$ property, then $L_{p} (E, ν)$ also has $R - N$ property, for $1 < p < \infty$ .

Products of group-valued measures

H. Millington (1975)

Studia Mathematica

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On certain barrelled normed spaces

Manuel Valdivia (1979)

Annales de l'institut Fourier

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Let $𝒜$ be a $σ$ -algebra on a set $X$ . If $A$ belongs to $𝒜$ let $e (A)$ be the characteristic function of $A$ . Let $ℓ_{0}^{\infty} (X, 𝒜$ be the linear space generated by ${e (A) : A \in 𝒜}$ endowed with the topology of the uniform convergence. It is proved in this paper that if $(E_{n})$ is an increasing sequence of subspaces of $ℓ_{0}^{\infty} (X, 𝒜)$ covering it, there is a positive integer $p$ such that $E_{p}$ is a dense barrelled subspace of $ℓ_{0}^{\infty} (X, 𝒜)$ , and some new results in measure theory are deduced from this fact.

Displaying similar documents to “A representation theorem for A C ( R n ) * ”

Displaying similar documents to “A representation theorem for $A C {(R^{n})}^{*}$ ”