A projection property and weak sequential completeness of alfa-duals.
Charles Swartz, Christopher Stuart (1992)
Collectanea Mathematica
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Charles Swartz, Christopher Stuart (1992)
Collectanea Mathematica
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A. Alexiewicz (1950)
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We consider stochastic processes as random elements in some spaces of Hölder functions vanishing at infinity. The corresponding scale of spaces is shown to be isomorphic to some scale of Banach sequence spaces. This enables us to obtain some tightness criterion in these spaces. As an application, we prove the weak Hölder convergence of the convolution-smoothed empirical process of an i.i.d. sample under a natural assumption about the regularity of the marginal distribution function...