An additive functional equation in orthogonality spaces

Park, Choonkil; Rassias, Themistocles M.

doi:10.1007/978-3-642-28821-0_14

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An additive functional equation in orthogonality spaces

Park, Choonkil;
Rassias, Themistocles M.

Citations

SCOPUS

1

초록

By applying the fixed point method as well as the direct method, we provide a proof of the Hyers-Ulam stability of linear mappings, isometric linear mappings and 2-isometric linear mappings in Banach modules over a unital C ∗-algebra and in non-Archimedean Banach modules over a unital C ∗-algebra associated with an orthogonally additive functional equation. Moreover, we prove the Hyers-Ulam stability of homomorphisms in C ∗-algebras associated with an orthogonally additive functional equation.

키워드

Algebra; Asymptotic stability; Mapping; Nonlinear equations; Banach modules; Direct method; Fixed point methods; Functional equation; Hyers-Ulam stability; Linear mapping; Orthogonality; Functional analysis

제목: An additive functional equation in orthogonality spaces

저자: Park, Choonkil; Rassias, Themistocles M.

DOI: 10.1007/978-3-642-28821-0_14

발행일: 2012-06

유형: Book Chapter

저널명: Essays in Mathematics and its Applications: In Honor of Stephen Smale's 80th Birthday

권: 9.78364E+12

페이지: 335 ~ 367