Orthogonally Additive: Additive Functional Equation
DOI10.1007/978-1-4939-0258-3_29zbMath1333.39040OpenAlexW38627787MaRDI QIDQ3193168
Publication date: 15 October 2015
Published in: Analytic Number Theory, Approximation Theory, and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4939-0258-3_29
Hyers-Ulam stabilityadditive functional equationnon-Archimedean orthogonality Banach spaceorthogonality Banach space
Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Orthogonal additivity and other conditional functional equations (39B55)
Cites Work
- Sesquilinear-orthogonally quadratic mappings
- On the representation of non-Archimedean objects
- A fixed point approach to stability of a quadratic equation
- A Mazur--Ulam theorem in non-Archimedean normed spaces
- On orthogonally additive mappings
- Orthogonally additive and orthogonally increasing functions on vector spaces
- On some non-Archimedian spaces of Alexandroff and Urysohn
- The problem of S. M. Ulam for approximately multiplicative mappings
- On the stability of functional equations in Banach spaces
- On orthogonally additive mappings. IV
- Functional equations on A-orthogonal vectors
- Conditional functional equations and orthogonal additivity
- Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
- On the stability of the orthogonal pexiderized Cauchy equation
- Orthogonal stability of additive type equations
- Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
- The stability of a cubic type functional equation with the fixed point alternative
- Orthogonality in linear metric spaces
- A Characterization of $(\sigma,\tau)-$ derivations on von Neumann algebras
- A New Orthogonality Relation for Normed Linear Spaces
- Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping
- Proprieta’ locali e approssimazione di operatori
- On the Stability of the Linear Mapping in Banach Spaces
- A fixed point theorem of the alternative, for contractions on a generalized complete metric space
- Orthogonality and Nonlinear Functionals on Banach Spaces
- On the orthogonal stability of the pexiderized quadratic equation
- Orthogonality and Linear Functionals in Normed Linear Spaces
- On the Stability of the Linear Functional Equation
- Orthogonality in normed linear spaces
- Remarks on the stability of functional equations
- Stability of functional equations in several variables
- On the stability of the additive Cauchy functional equation in random normed spaces
- Orthogonality in normed linear spaces
- On the stability of the quadratic mapping in normed spaces
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