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On vector valued measure spaces of bounded $Φ$ -variation containing copies of $ℓ_{\infty}$

María J. Rivera — 2001

Czechoslovak Mathematical Journal

Given a Young function $Φ$ , we study the existence of copies of $c_{0}$ and $ℓ_{\infty}$ in ${c a b v}_{Φ} (μ, X)$ and in ${c a b s v}_{Φ} (μ, X)$ , the countably additive, $μ$ -continuous, and $X$ -valued measure spaces of bounded $Φ$ -variation and bounded $Φ$ -semivariation, respectively.

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On vector valued measure spaces of bounded Φ -variation containing copies of ℓ ∞

On vector valued measure spaces of bounded $Φ$ -variation containing copies of $ℓ_{\infty}$