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2011•Journal of the Chungcheong Mathematical SocietyRequires access

LINEAR MAPPINGS IN BANACH MODULES OVER A UNITAL C * -ALGEBRA

Jung Rye Lee, Kap-Jong Mo, Choonkil Park

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Abstract

We prove the Hyers-Ulam stability of generalized Jensen's equations in Banach modules over a unital -algebra. It is applied to show the stability of generalized Jensen's equations in a Hilbert module over a unital -algebra. Moreover, we prove the stability of linear operators in a Hilbert module over a unital -algebra.

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What this paper is about

We prove the Hyers-Ulam stability of generalized Jensen's equations in Banach modules over a unital -algebra. It is applied to show the stability of generalized Jensen's equations in a Hilbert module over a unital -algebra. Moreover, we prove the stability of linear operators in a Hilbert module over a unital -algebra.

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Available abstract

We prove the Hyers-Ulam stability of generalized Jensen's equations in Banach modules over a unital -algebra. It is applied to show the stability of generalized Jensen's equations in a Hilbert module over a unital -algebra. Moreover, we prove the stability of linear operators in a Hilbert module over a unital -algebra.

Key concepts: Unital, Banach algebra, Mathematics, Pure mathematics, Stability (learning theory), Algebra over a field, Hilbert space, Banach space

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