ISOMORPHISMS,DERIVATIONS AND ISOMETRIES IN PROPER <i>CQ</i>^∗-ALGEBRAS

DOI10.11948/2015050OpenAlexW1875733483MaRDI QIDQ5121235

Dong Yun Shin, Jung Rye Lee, Chun-Gil Park

Publication date: 11 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2015050

zbMATH Keywords

isometryderivationCauchy-Jensen functional equationisometric isomorphismproper \(CQ^*\)-algebra isomorphismLie (Jordan) derivationproper Lie (Jordan) \(CQ^*\)-algebra homomorphism

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of operator algebras to the sciences (47L90) Applications of operator theory in the physical sciences (47N50) Isomorphic theory (including renorming) of Banach spaces (46B03) General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72) Jordan structures on Banach spaces and algebras (17C65) Topological algebras of operators (46H35) Nonassociative topological algebras with an involution (46K70) Ternary compositions (17A40) Equations and inequalities involving nonlinear operators (47Jxx)

Cites Work

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• Hyers-Ulam stability of derivations on proper Jordan \(CQ^*\)-algebras
• Isometric isomorphisms in proper \(CQ^*\)-algebras
• Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces
• Local algebras of observables and pointlike localized fields
• Dynamics of mean-field spin models from basic results in abstract differential equations
• Properties of isometric mappings
• Homomorphisms between Poisson JC*-algebras
• Lie \(\ast\)-homomorphisms between Lie \(C^*\)-algebras and Lie \(\ast\)-derivations on Lie \(C^*\)-algebras
• \(CQ^*\)-algebras: Structure properties
• On inequalities associated with the Jordan-von Neumann functional equation
• Functional inequalities associated with Jordan-von Neumann-type additive functional equations
• Stability of a functional inequality associated with the Jordan-von Neumann functional equation
• Homomorphisms between \(JC^*\)-algebras and Lie \(C^*\)-algebras
• On the mathematical structure of the B.C.S.-model
• Tomita's theory of modular Hilbert algebras and its applications
• Some classes of topological quasi $*$-algebras
• ISOMORPHISMS AND GENERALIZED DERIVATIONS IN PROPER CQ∗ -ALGEBRAS
• Isomorphisms between C*-ternary algebras
• Real Isomorphic Complex Banach Spaces Need not be Complex Isomorphic
• Mathematical structures for long-range dynamics and symmetry breaking
• On the Stability of the Linear Mapping in Banach Spaces
• On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
• Some seminorms on quasi^*-algebras
• On a problem by K. Nikodem
• An Elementary Example of a Banach Space not Isomorphic to its Complex Conjugate
• QUASI *-ALGEBRAS OF OPERATORS AND THEIR APPLICATIONS
• STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ^*-ALGEBRAS
• Radon-Nikodym theorem in quasi *-algebras
• Bounded elements and spectrum in Banach quasi^*-algebras
• An Algebraic Approach to Quantum Field Theory
• Isometries in Normed Spaces
• Algèbres unitaires et espaces d'Ambrose
• Morphisms of certain Banach \(C^*\)-modules
• An inequality, equivalent to the parallelogram equation