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Orthogonality and Disjointness in Spaces of Measures

Authors
  • Busch, Paul1
  • 1 The University of Hull, Department of Mathematics, Hull HU6 7RX, United Kingdom , Hull HU6 7RX
Type
Published Article
Journal
Letters in Mathematical Physics
Publisher
Kluwer Academic Publishers
Publication Date
May 01, 1998
Volume
44
Issue
3
Pages
215–224
Identifiers
DOI: 10.1023/A:1007429502809
Source
Springer Nature
Keywords
License
Yellow

Abstract

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.

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