LINEAR MAPPINGS IN BANACH MODULES OVER A UNITAL C ∗-ALGEBRA
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Abstract
We prove the Hyers-Ulam stability of generalized Jensen's equations in Banach modules over a unital C∗-algebra. It is applied to show the stability of generalized Jensen's equations in a Hilbert module over a unital C∗-algebra. Moreover, we prove the stability of linear operators in a Hilbert module over a unital C∗-algebra.
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