Smooth Fréchet subalgebras of \(C^\ast\)-algebras defined by first order differential seminorms

DOI10.1007/S12044-016-0265-8zbMath1346.46045OpenAlexW2285412227MaRDI QIDQ263878

Subhash J. Bhatt

Publication date: 5 April 2016

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/s12044-016-0265-8

zbMATH Keywords

Arens-Michael decomposition of a Fréchet algebraclosure under functional calculusFréchet \(D_{1}^{*}\)-algebrasmooth subalgebra of a \(C^\ast\)-algebraspectral invarianceunbounded self-adjoint Hilbert space operator

Mathematics Subject Classification ID

Projective and injective objects in functional analysis (46M10) Structure, classification of topological algebras (46H20) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Cites Work

• On a class of smooth Fréchet subalgebras of \(C^\ast\)-algebras
• \(C^{\ast}\)-Segal algebras with order unit
• Topological algebras with \(C^ \ast\)-enveloping algebras
• Differential Banach *-algebras of compact operators associated with symmetric operators
• Stinespring representability and Kadison's Schwarz inequality in non-unital Banach star algebras and applications
• Dual spaces and isomorphisms of some differential Banach \({}^*\)-algebras of operators
• SECOND-ORDER NONCOMMUTATIVE DIFFERENTIAL AND LIPSCHITZ STRUCTURES DEFINED BY A CLOSED SYMMETRIC OPERATOR
• Differential properties of some dense subalgebras of C*-algebras
• Topological \(^*\)-algebras with \(C^*\)-enveloping algebras. II
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