Reflexivity of the Length Function

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Reflexivity of the Length Function

1. As in [l], 51 will denote a space of points P with a countably additive, non-negative measure y(E); all sets and functions considered will be 7-measurable; e will always denote a set of finite measure; E will be called purely infinite if y(E) = <» and eC-E implies y(e) =0. X is a length function if \(m) is defined, with O^X(m) fk °° , for every non-negative function u=u(P), and satisfies: (L...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1957

ISSN: 0002-9939

DOI: 10.2307/2033503