Stinespring representability and Kadison's Schwarz inequality in non-unital Banach star algebras and applications

DOI10.1007/BF02844483zbMath0938.46049OpenAlexW2032546506MaRDI QIDQ1304599

Subhash J. Bhatt

Publication date: 27 June 2000

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844483

zbMATH Keywords

Banach \(*\)-algebracompletely positive linear mapenveloping \(C^*\)-algebraGelfand-Naimark pseudo-normStinespring representability

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10)

Related Items (5)

Smooth Fréchet subalgebras of \(C^\ast\)-algebras defined by first order differential seminorms ⋮ On Kadison-Schwarz type quantum quadratic operators on \(\mathbb M_2(\mathbb C)\) ⋮ Nonlinear completely positive maps and dilation theory for real involutive algebras ⋮ SECOND-ORDER NONCOMMUTATIVE DIFFERENTIAL AND LIPSCHITZ STRUCTURES DEFINED BY A CLOSED SYMMETRIC OPERATOR ⋮ The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators

Cites Work

• On representability of linear functionals on *-algebras
• Approximate identities and factorization in Banach modules
• Topological algebras with orthogonal Schauder bases
• Automatic continuity of *-morphisms between non-normed topological *- algebras
• Topological algebras with \(C^ \ast\)-enveloping algebras
• Unbounded completely positive linear maps on \(C^*\)-algebras
• Subalgebras of \(C^ *\)-algebras
• The Properties ∗ -Regularity and Uniqueness of C ∗ -Norm in a General ∗ -Algebra
• Extending Positive Definite Linear Forms
• Automatic continuity of positive functionals on topological involution algebras
• Representability of Positive Functionals
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