EUDML

Let $𝔐$ be a Jordan-Banach algebra with identity 1, whose norm satisfies: (i) $∥ a b ∥ \leq ∥ a ∥ ∥ b ∥$ , $a, b \in 𝔐$ (ii) $∥ a^{2} ∥ = ∥ a ∥^{2}$ (iii) $∥ a^{2} ∥ \leq ∥ a^{2} + b^{2} ∥$ . $𝔐$ is called a JB algebra (E.M. Alfsen, F.W. Shultz and E. Stormer, Oslo preprint (1976)). The set $𝔐^{+}$ of squares in $𝔐$ is a closed convex cone. $(𝔐, 𝔐^{+}, 1)$ is a complete ordered vector space with $1$ as a order unit. In addition, we assume $𝔐$ to be monotone complete (i.e. $𝔐$ coincides with the bidual $𝔐^{* *}$ ),...

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 7 of 7

Le papillon de Hofstadter

États localisés du rotateur pulsé

Foreword

Hommage à Claude Itzykson (1938-1995)

Avant-propos

Heisenberg's picture and non commutative geometry of the semi classical limit in quantum mechanics

Homogeneous self dual cones versus Jordan algebras. The theory revisited