Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras
نویسندگان
چکیده
منابع مشابه
Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras
and Applied Analysis 3 Moreover, D. G. Bourgin 16 and Găvruţa 17 have considered the stability problem with unbounded Cauchy differences see also 18–23 . On the other hand, J. M. Rassias 24–29 considered the Cauchy difference controlled by a product of different powers of norm. However, there was a singular case; for this singularity a counterexample was given by Găvruţa 30 . Theorem 1.2 J. M. ...
متن کاملNearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras
and Applied Analysis 3 Moreover, Bourgin 15 and Găvruţa 16 have considered the stability problem with unbounded Cauchy differences see also 17–27 . On the other hand, J. M. Rassias 28–33 considered the Cauchy difference controlled by a product of different powers of norm. However, there was a singular case; for this singularity a counterexample was given by Găvruţa 34 . This stability phenomeno...
متن کاملStability and superstability of homomorphisms on C∗−ternary algebras
In this paper, we investigate the stability and superstability of homomorphisms on C∗−ternary algebras associated with the functional equation f( x+ 2y + 2z 5 ) + f( 2x+ y − z 5 ) + f( 2x− 3y − z 5 ) = f(x).
متن کاملSuperstability of Multipliers and Ring Derivations on Banach Algebras
In this paper, we will consider Hyers–Ulam–Rassias stability of multipliers and ring derivations between Banach algebras. As a corollary, we will prove superstability of ring derivations and multipliers. That is, approximate multipliers and approximate ring derivations are exact multipliers and ring derivations.
متن کاملRing Homomorphisms on Real Banach Algebras
Let B be a strictly real commutative real Banach algebra with the carrier space Φ B. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ : A → B, which needs not be linear nor continuous. If A is a commutative complex Banach algebra, then ρ(A) is contained in the radical of B. 1. Introduction and results. Ring homomorphisms are mappings between two ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2011
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2011/123656