On the stability of \(J^*\)-homomorphisms
From MaRDI portal
Publication:2573531
DOI10.1016/j.na.2005.04.004zbMath1085.39026arXivmath/0501158OpenAlexW2136290933MaRDI QIDQ2573531
Mohammad Sal Moslehian, Chun-Gil Park
Publication date: 22 November 2005
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0501158
Stability, separation, extension, and related topics for functional equations (39B82) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items (28)
Isomorphisms between C*-ternary algebras ⋮ Fuzzy versions of Hyers-Ulam-Rassias theorem ⋮ Isomorphisms between \(C^{*}\)-ternary algebras ⋮ Approximate homomorphisms of ternary semigroups ⋮ On nonlinear stability in various random normed spaces ⋮ Approximately intertwining mappings ⋮ Stability results in non-Archimedean \(\mathcal L\)-fuzzy normed spaces for a cubic functional equation ⋮ Hyers-Ulam-Rassias stability of generalized derivations ⋮ Inner Product Spaces and Quadratic Functional Equations ⋮ The stability of the quartic functional equation in various spaces ⋮ On the stability problem in fuzzy Banach space ⋮ Approximate isomorphisms in \(C^{*}\)-algebras ⋮ Ternary derivations, stability and physical aspects ⋮ On the stability of cubic and quadratic mapping in random normed spaces under arbitrary \(T\)-norms ⋮ Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces ⋮ Approximately \(J^*\)-homomorphisms: a fixed point approach ⋮ Stability of a cubic functional equation in intuitionistic random normed spaces ⋮ On the stability of \(J^*\)-derivations ⋮ STABILITY OF MAPPINGS ON MULTI-NORMED SPACES ⋮ The stability of a connection on Hermitian vector bundles over a Riemannian manifold ⋮ On the stability of cubic mappings and quadratic mappings in random normed spaces ⋮ Nearly generalized Jordan derivations ⋮ GENERALIZED (θ, ø)-DERIVATIONS ON BANACH ALGEBRAS ⋮ Homomorphisms and derivations in \(C^{\ast}\)-ternary algebras ⋮ Approximate ternary Jordan derivations on Banach ternary algebras ⋮ Generalized Hyers-Ulam stability of generalized \((N,K)\)-derivations ⋮ Comment on “Approximate ternary Jordan derivations on Banach ternary algebras” [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303 (2009)] ⋮ Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping
Cites Work
- Unnamed Item
- Unnamed Item
- On stability of additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- Lie \(\ast\)-homomorphisms between Lie \(C^*\)-algebras and Lie \(\ast\)-derivations on Lie \(C^*\)-algebras
- Means and convex combinations of unitary operators.
- A Generalization of C* -Algebras
- On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
- Operator Siegel Domains
- On the Stability of the Linear Mapping in Banach Spaces
- On an approximate automorphism on a $C^{*}$-algebra
- On the Stability of the Linear Functional Equation
This page was built for publication: On the stability of \(J^*\)-homomorphisms
