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. In this book the authors investigate these developments in
the theory of approximate functional equations.
General
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