Results 11 to 20 of about 6,951 (120)
Jordan *-homomorphisms on C^*-algebras [PDF]
Operators and Matrices, 2011 In this paper, we investigate Jordan *-homomorphisms on $C^*$-algebras associated with the following functional inequality $\|f(\frac{b-a}{3})+f(\frac{a-3c}{3})+f(\frac{3a+3c-b}{3})\| \leq \|f(a)\|.$ We moreover prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms on $C^*$-algebras associated with the following ...
Gordji, M. Eshaghi +2 more
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Jordan Homomorphisms and Harmonic Mappings [PDF]
Monatshefte f�r Mathematik, 2003 We show that each Jordan homomorphism $R\to R'$ of rings gives rise to a harmonic mapping of one connected component of the projective line over $R$ into the projective line over $R'$. If there is more than one connected component then this mapping can be extended in various ways to a harmonic mapping which is defined on the entire projective line over
Blunck, Andrea, Havlicek, Hans
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Jordan Homomorphisms of Rings [PDF]
Transactions of the American Mathematical Society, 1950 The primary aim of this paper is to study mappings J of rings that are additive and that satisfy the conditions $$ {\left( {{a^2}} \right)^J} = {\left( {{a^J}} \right)^2},\;{\left( {aba} \right)^J} = {a^J}{b^J}{a^J} $$ (1) Such mappings will be called Jordan homomorphisms. If the additive groups admit the operator 1/2 in the sense that 2x = a
Jacobson, Nathan, Rickart, C. E.
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New Condition of Automatic Continuity of Dense Range Homomorphisms on Jordan – Banach Algebras [PDF]
مجلة التربية والعلم, 2018 The following open problem stated that, if T: A⟶B is a dense range homomorphism between Banach algebras A and B such that B is semi-simple. Is T automatically continuous? (see [1]).
RUQAYAH N. BALO +2 more
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Characterization of mixed n-Jordan homomorphisms and pseudo n-Jordan homomorphisms
Tamkang Journal of Mathematics, 2019 In this article, a new notion of $n$-Jordan homomorphism namely the mixed $n$-Jordan homomorphism is introduced. It is proved that how a mixed $(n+1)$-Jordan homomorphism can be a mixed $n$-Jordan homomorphism and vice versa. By means of some examples, it is shown that the mixed $n$-Jordan homomorphisma are different from the $n$-Jordan homomorphisms ...
Neghabi, Masoumeh +2 more
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Jordan homomorphisms of semiprime rings
Journal of Algebra, 1979 Baxter, W.E, Martindale, W.S
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Continuity of homomorphisms on pro-nilpotent algebras [PDF]
, 2010 Let V be a variety of not necessarily associative algebras, and A an inverse limit of nilpotent algebras A_i\in V, such that some finitely generated subalgebra S \subseteq A is dense in A under the inverse limit of the discrete topologies on the A_i. A
Bergman, George M.
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Von Staudt's theorem revisited [PDF]
, 2013 We establish a version of von Staudt's theorem on mappings which preserve harmonic quadruples for projective lines over (not necessarily commutative) rings with "sufficiently many" units, in particular 2 has to be a unit.Comment: More typos ...
Havlicek, Hans
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Bulletin of the Australian Mathematical Society, 2009 AbstractLetn∈ℕ and letAandBbe rings. An additive maph:A→Bis called ann-Jordan homomorphism ifh(an)=(h(a))nfor alla∈A. Every Jordan homomorphism is ann-Jordan homomorphism, for alln≥2, but the converse is false in general. In this paper we investigate then-Jordan homomorphisms on Banach algebras. Some results related to continuity are given as well.
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Ternary Generalized Jordan Ring Homomorphisms on Ternary Non-Archimedean Banach Algebras [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we introduce the notion of the ternary generalized Jordan ring homomorphism on ternary non-Archimedean Banach algebras. Utilizing alternative fixed point methods, we establish the generalized Hyers-Ulam stability of ternary generalized ...
Ismail Nikoufar, Hossein Rahimpoor
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