Title

Means on dyadic symmetrie sets and polar decompositions

Document Type

Article

Publication Date

12-1-2004

Abstract

In this paper we develop the theory of the geometric mean and the spectral mean on dyadic symmetric sets, an algebraic generalization of symmetric spaces of noncompact type, and apply them to obtain decomposition theorems of involutive systems. In particular we show for involutive dyadic symmetric sets: every involutive dyadic symmetric set admits a canonical polar decomposition with factors the geometric and spectral means. © 2004 Mathematische Seminar.

Publication Source (Journal or Book title)

Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg

First Page

135

Last Page

150

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