Approximate C ∗-Algebra Homomorphisms Associated to an Apollonius–Jensen Type Additive Mapping; A Fixed Point Approach

Fridoun Moradlou () and G. Zamani Eskandani ()
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Fridoun Moradlou: Sahand University of Technology
G. Zamani Eskandani: University of Tabriz

Chapter Chapter 27 in Nonlinear Analysis, 2012, pp 457-470 from Springer

Abstract: Abstract In this paper, we prove the Hyers–Ulam–Rassias stability of C ∗-algebra homomorphisms and of generalized derivations on C ∗-algebras for the following Cauchy–Jensen functional equation: The concept of Hyers–Ulam–Rassias stability originated from the Th.M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Am. Math. Soc. 72:297–300, 1978.

Keywords: Cauchy–Jensen functional equation; Fixed point; C ∗-algebra homomorphism; Hyers–Ulam–Rassias stability; Generalized derivation; 39B72; 47H10; 46L05; 46B03; 47Jxx (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-3498-6_27

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DOI: 10.1007/978-1-4614-3498-6_27

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