A representation theorem for positive functionals on involution algebras

DOI10.1007/BF01369109zbMath0132.10804OpenAlexW4251536355MaRDI QIDQ2395385

Yanyan Li

Publication date: 1966

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

Full work available at URL: https://eudml.org/doc/161347

zbMATH Keywords

functional analysis

Related Items (16)

Unnamed Item ⋮ On integral representations of linear forms ⋮ Unnamed Item ⋮ Gelfand–Naimark theorems for ordered -algebras ⋮ Some remarks on spectral states of LMC-algebras ⋮ Multiplications and involutions on vector spaces ⋮ Positive functionals on some spaces of fractions ⋮ Extensions of pure states in normed spaces ⋮ Absolute continuity and Radon-Nikodym type theorems for weights and traces on von Neumann algebras ⋮ On Bauer's characterization of extreme points ⋮ Multiplicative extensions of multiplicative functionals in Banach algebras ⋮ Extremale Sesquilinearformen und der Satz von Bochner-Schwartz ⋮ Extreme spectral states of commutative Banach algebras ⋮ Absolute continuity for linear forms on \(B^*\)-algebras and a Radon- Nikodým type theorem (quadratic version) ⋮ Extreme points of intervals in \(C^*\)-algebras ⋮ The theorem of Gleason-Kahane-Zelazko in a commutative symmetric Banach algebra

Cites Work

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• Extreme positive definite functions and Choquet's representation theorem
• Existence et unicité des représentations intégrales dans les convexes compacts quelconques
• A Radon-Nikodym theorem in 𝑊*-algebras

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