Universal continuous calculus for Su*‐algebras

DOI10.1002/mana.202100136arXiv1901.04076OpenAlexW2908900856MaRDI QIDQ6047371

Matthias Schötz

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04076

zbMATH Keywords

positive cone\(C^*\)-algebrasHermitian elementsspectrum of an element\(Su^*\)-algebrasalgebras of continuous functions.universal continuous calculus

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Functional calculus in topological algebras (46H30) Ordered rings, algebras, modules (06F25) General theory of topological algebras with involution (46K05)

Cites Work

• Unnamed Item
• Unnamed Item
• Constructive proofs of some positivstellensätze for compact semialgebraic subsets of \(\mathbb R^{d }\)
• Stone-Weierstrass theorems for Riesz ideals of continuous functions
• Representing polynomials by positive linear functions on compact convex polyhedra
• The \(K\)-moment problem for compact semi-algebraic sets
• Functional calculus on Riesz spaces
• Uniform denominators in Hilbert's seventeenth problem
• Equivalence of order and algebraic properties in ordered \(^*\)-algebras
• Anneaux preordonnes
• A Nullstellensatz and a Positivstellensatz in semialgebraic geometry
• On the structure of a class of archimedean lattice-ordered algebras
• A Representation Theorem for Archimedean Quadratic Modules on ∗-Rings
• Small Riesz spaces
• An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space