SECOND-ORDER NONCOMMUTATIVE DIFFERENTIAL AND LIPSCHITZ STRUCTURES DEFINED BY A CLOSED SYMMETRIC OPERATOR

DOI10.1017/S1446788715000403zbMath1334.47070OpenAlexW2219950701MaRDI QIDQ2800017

Meetal M. Shah, Subhash J. Bhatt

Publication date: 14 April 2016

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788715000403

zbMATH Keywords

symmetric operatornoncommutative Lipschitz structuresecond-order noncommutative differential structure

Mathematics Subject Classification ID

Topological algebras, normed rings and algebras, Banach algebras (46H99) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Related Items (1)

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

Cites Work

• On a class of smooth Fréchet subalgebras of \(C^\ast\)-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
• Lipschitz algebras and derivations. II: Exterior differentiation
• Lipschitz algebras and derivations of von Neumann algebras
• Differential properties of some dense subalgebras of C*-algebras

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