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학술저널

LINEAR MAPPINGS IN BANACH MODULES OVER A UNITAL C¤{ALGEBRA

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We prove the Hyers-Ulam stability of generalized Jensen s equa-tions 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.

1. Generalized Jensen s equations

2. Stability of generalized Jensen s equations in Banach modules over a C¤-algebra

3. Stability of generalized Jensen s equations in a Hilbert module over a C¤-algebra

4. Stability of generalized Jensen s equations in Banach modules over a C¤-algebra and unitary elements

5. Stability of generalized Jensen s equations in a Hilbert module over a C¤-algebra and unitary elements

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