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Locally Convex Limit Spaces of Measurable Functions with Order Units and Its Duals

Eskandarian, Zohreh

Published in Lobachevskii Journal of Mathematics

We consider linear normed spaces of measurable functions dominated by positive measurable function powered by real positive parameter. Also, we consider its dual and predual, and we propose a method for constructing a limit spaces of these functional spaces taken by power parameter. We prove that these limit spaces are (LF)-spaces and also prove th...

Orthogonality and Disjointness in Spaces of Measures

Busch, Paul

Published in Letters in Mathematical Physics

The disjointness of measures and their Hahn–Jordan decomposition are instances of the general notion of minimal decomposition in base normed spaces. The mixing distance, a specification of a novel concept of angle in real normed vector spaces, is applied to provide a geometric interpretation of disjointness as orthogonality.

Publication search with base norm as keyword

Locally Convex Limit Spaces of Measurable Functions with Order Units and Its Duals

Orthogonality and Disjointness in Spaces of Measures

Publication search
with base norm as keyword