Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions
From MaRDI portal
Publication:5120034
DOI10.1007/978-3-030-28972-0_18zbMath1452.39008OpenAlexW2982510231MaRDI QIDQ5120034
Publication date: 9 September 2020
Published in: Ulam Type Stability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-28972-0_18
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)
Related Items (2)
Fischer–Muszély Additivity: A Half Century Story ⋮ A natural Galois connection between generalized norms and metrics
Cites Work
- On a Jensen Type Functional Equation
- On the Functional Equations f(x+iy)| = |f(x)+f(iy)| and |f(x+iy)| = |f(x)-f(iy)| and on Ivory's Theorem
- Classes of Semi-Inner-Product Spaces
- On Some New Generalizations of the Functional Equation of Cauchy
- Normed Linear Spaces Equivalent to Inner Product Spaces
- Subadditive functions
- An inequality, equivalent to the parallelogram equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on a characterization of metrics generated by norms
- On generalized Hyers-Ulam stability of additive mapings on restricted domains of Banach spaces
- Kernel of the second order Cauchy difference on groups
- Generalized stabilities of two functional equations
- Ulam-Hyers-Rassias stability problem for several kinds of mappings
- On functional inequalities associated with Drygas functional equation
- Regularity of weakly subquadratic functions
- A characterization of normed spaces among metric spaces
- Hlawka's functional inequality on topological groups
- An alternative functional equation on restricted domain
- A characterization of normed spaces
- On the generalized Ulam-Gavruta-Rassias stability of mixed-type linear and Euler-Lagrange-Rassias functional equations
- Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias stabilities of an additive functional equation in several variables
- On the stability of generalized additive functional inequalities in Banach spaces
- Functional inequalities associated with additive mappings
- On Jensen's functional equation
- Partial inner product spaces. I: General properties
- Eine Charakterisierung quadratischer Formen durch eine Funktionalgleichung
- On some alternative functional equations
- On the Hyers-Ulam stability of the functional equations that have the quadratic property
- Stability of an alternative Cauchy equation on a restricted domain
- Functional equations on semigroups
- Isometries and a generalized Cauchy equation
- Hyers-Ulam-Rassias stability of a Jensen type functional equation
- A natural Galois connection between generalized norms and metrics
- On two conditional forms of the equation \(\| f(x+y)\|=\| f(x)+f(y)\|\)
- Characterizations of inner product spaces
- On the Ulam stability of mixed type mappings on restricted domains
- Quadratic functional equation and inner product spaces
- Stability of the generalized alternative Cauchy equation
- Hyperstability and superstability
- Hlawka's functional inequality
- Normed spaces equivalent to inner product spaces and stability of functional equations
- On additive involutions and Hamel bases
- A general uniqueness theorem concerning the stability of additive and quadratic functional equations
- On functional equations related to additive mappings and isometries
- Orthogonally additive bijections are additive
- On inequalities associated with the Jordan-von Neumann functional equation
- On stability of the Cauchy functional equation in groupoids
- Functional inequalities associated with Jordan-von Neumann-type additive functional equations
- A metric characterization of normed linear spaces
- Stability of a functional inequality associated with the Jordan-von Neumann functional equation
- On the Hyers-Ulam stability of functional equations connected with additive and quadratic mappings
- Beitrag zur Theorie der Cauchyschen Funktionalgleichungen
- A remark on the square norm
- Note on inner products in vector spaces
- On bimorphisms and quadratic forms on groups
- Stability of the preservation of the equality of distance
- Sur la définition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
- Stability of a mixed functional equation in several variables on Banach modules
- Hyers–Ulam Stability of the Quadratic Functional Equation
- On Two Different Concepts of Subquadraticity
- A Common Generalization of Functional Equations Characterizing Normed and Quasi-Inner-Product Spaces
- On the equivalence of Hille's and Robinson's functional equations
- A Curious Trigonometric Identity
- Semi-Inner-Product Spaces
- SOME REMARKS ON SUBQUADRATIC FUNCTIONS
- Functional Equations and Inequalities with Applications
- Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces
- Fischer–Muszély Additivity: A Half Century Story
- On a problem by K. Nikodem
- Relationships between homogeneity, subadditivity and convexity properties
- NOTE ON ROBINSON’S FUNCTIONAL EQUATION
- Functional Equations on Groups
- Generalizations of an asymptotic stability theorem of Bahyrycz, Páles and Piszczek on Cauchy differences to generalized cocycles
- ON HYPERSTABILITY OF ADDITIVE MAPPINGS ONTO BANACH SPACES
- Some equivalent characterizations of inner product spaces and their consequences
This page was built for publication: Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions
