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We prove the Hyers–Ulam stability of linear d-isometries in
linear d-normed Banach modules over a unital C*-algebra and of linear
isometries in Banach modules over a unital C*-algebra. The main
purpose of this paper is to investigate d-isometric C*-algebra isomorphisms
between linear d-normed C*-algebras and isometric C*-algebra
isomorphisms between C*-algebras, and d-isometric Poisson C*-algebra
isomorphisms between linear d-normed Poisson C*-algebras and isometric
Poisson C*-algebra isomorphisms between Poisson C*-algebras.
We moreover prove the Hyers–Ulam stability of their d-isometric homomorphisms
and of their isometric homomorphisms.
목차
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참고문헌 (27)
참고문헌 신청
A. D. Aleksandrov / 1970 / Mappings of families of sets / SOVIET MATHEMATICS DOKLADY 115 : 376 ~ 380
D. Boo / 2000 / The fundamental group of the automorphism group of a noncommutative torus / Chinese Annals of Mathematics Series B 21 (4) : 441 ~ 452
D. H. Hyers / 1941 / On the stability of the linear functional equation / The Proceedings of the National Academy of Sciences : 222 ~ 224
D. H. Hyers / 1992 / Approximate homomorphisms / Aequationes Mathematicae 44 (2) : 125 ~ 153
D. H. Hyers / 1998 / Stability of functional equations in several variables, Progress in Nonlinear Differential Equations and their Applications / Birkhauser Boston, Inc. : 34 ~
D. Boo / 2000 / The fundamental group of the automorphism group of a noncommutative torus / Chinese Annals of Mathematics Series B 21 (4) : 441 ~ 452
D. H. Hyers / 1941 / On the stability of the linear functional equation / The Proceedings of the National Academy of Sciences : 222 ~ 224
D. H. Hyers / 1992 / Approximate homomorphisms / Aequationes Mathematicae 44 (2) : 125 ~ 153
D. H. Hyers / 1998 / Stability of functional equations in several variables, Progress in Nonlinear Differential Equations and their Applications / Birkhauser Boston, Inc. : 34 ~
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