Theory of Approximate Functional Equations
In Banach Algebras, Inner Product Spaces and Amenable Groups

Presents open problems and research directions for research mathematicians and those interested in Hyers-Ulam stability problems

Madjid Eshaghi Gordji (Author), Sadegh Abbaszadeh (Author)

9780128039205, Elsevier Science

Hardback, published 25 February 2016

148 pages
22.9 x 15.1 x 1.8 cm, 0.28 kg

Presently no other book deals with the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups. Moreover, in most stability theorems for functional equations, the completeness of the target space of the unknown functions contained in the equation is assumed. Recently, the question, whether the stability of a functional equation implies this completeness, has been investigated by several authors.

1. Introduction2. Approximate Cauchy functional equations and completeness3. Stability of mixed type functional equations4. Stability of functional equations in Banach algebras5. Stability of functional equations in inner product spaces6. Amenability of groups (semigroups) and the stability of functional equations

Subject Areas: Functional analysis & transforms [PBKF]