Approximation of generalized homomorphisms in quasi-Banach algebras.
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Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Eshaghi Gordji, M., Savadkouhi, M.Bavand (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Gajda, Zbigniew (1991)
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International Journal of Mathematics and Mathematical Sciences
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Glavosits, Tamás, Száz, Árpád (2011)
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I. A. Vestfrid (2004)
Colloquium Mathematicae
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We investigate Hyers-Ulam stability of non-surjective ε-isomeries of Banach spaces. We also pose and discuss an open problem.
Miura, Takeshi, Hirasawa, Go, Takahasi, Sin-Ei (2004)
International Journal of Mathematics and Mathematical Sciences
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Kang, Dongseung (2010)
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Rafał Górak (2011)
Studia Mathematica
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We prove a very general theorem concerning the estimation of the expression ||T((a+b)/2) - (Ta+Tb)/2|| for different kinds of maps T satisfying some general perturbed isometry condition. It can be seen as a quantitative generalization of the classical Mazur-Ulam theorem. The estimates improve the existing ones for bi-Lipschitz maps. As a consequence we also obtain a very simple proof of the result of Gevirtz which answers the Hyers-Ulam problem and we prove a non-linear generalization...