Some Functional Equations in Banach Algebras and an Application

DOI10.2307/2046133zbMath0623.46021OpenAlexW4234166278MaRDI QIDQ3761110

Joso Vukman

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046133

zbMATH Keywords

left A-moduleBanach *-algebraJordan-Neumann characterization of pre-Hilbert spacefunctional equations in complex Banach algebras

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional equations for functions with more general domains and/or ranges (39B52) General theory of topological algebras (46H05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) General theory of topological algebras with involution (46K05)

Related Items (21)

Notes on Jordan \((\sigma,\tau)^*\)-derivations and Jordan triple \((\sigma,\tau)^*\)-derivations. ⋮ Jordan *-derivation pairs and quadratic functionals on modules over *-rings ⋮ Jordan-von Neumann theorem for Saworotnow's generalized Hilbert space ⋮ A note on generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ Some remarks on derivations in Banach algebras and related results ⋮ Structure of generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ Polarization identities ⋮ Jordan \(\tau\)-derivations of locally matrix rings. ⋮ On the Hyers-Ulam-Rassias stability of generalized quadratic mappings in Banach modules. ⋮ A generalization of the original Jordan-von Neumann theorem ⋮ On n^th power ∗-property in ∗-rings with applications ⋮ Generalized Cauchy functional equation and characterizations of inner product spaces ⋮ On the generalized \(A\)-quadratic mappings associated with the variance of a discrete-type distribution ⋮ Unnamed Item ⋮ Ulam stability problem for generalized \(A\)-quadratic mappings ⋮ On some additive mappings in rings with involution ⋮ A result concerning additive maps on the set of quaternions and an application ⋮ On Jordan *-mappings in rings with involution. ⋮ A-bilinear forms and generalised A-quadratic forms on unitary left A-modules ⋮ Unnamed Item ⋮ On the structure of generalized Jordan *-derivations of prime rings

Cites Work

• A Result Concerning Additive Functions in Hermitian Banach ∗ -Algebras and an Application
• Some results concerning the Cauchy functional equation in certain Banach algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some Functional Equations in Banach Algebras and an Application