On functional equations related to derivations and bicircular projections
نویسندگان
چکیده
منابع مشابه
On some equations related to derivations in rings
Throughout this paper, R will represent an associative ring with center Z(R). A ring R is n-torsion free, where n > 1 is an integer, in case nx = 0, x ∈ R implies x = 0. As usual the commutator xy− yx will be denoted by [x, y]. We will use basic commutator identities [xy,z] = [x,z]y + x[y,z] and [x, yz] = [x, y]z+ y[x,z]. Recall that a ring R is prime if aRb = (0) implies that either a = 0 or b...
متن کاملG-invariant norms and bicircular projections
It is shown that for many finite dimensional normed vector spaces V over C, a linear projection P : V → V will have nice structure if P + λ(I − P ) is an isometry for some complex unit not equal to one. From these results, one can readily determine the structure of bicircular projections, i.e., those linear projections P such that P + μ(I − P ) is a an isometry for every complex unit μ. The key...
متن کاملDERIVATIONS AND PROJECTIONS ON JORDAN TRIPLES An introduction to nonassociative algebra, continuous cohomology, and quantum functional analysis
This paper is an elaborated version of the material presented by the author in a three hour minicourse at V International Course of Mathematical Analysis in Andalusia, at Almeria, Spain September 12-16, 2011. The author wishes to thank the scientific committee for the opportunity to present the course and to the organizing committee for their hospitality. The author also personally thanks Anton...
متن کاملHomomorphisms and Derivations on Unital C∗−algebras Related to Cauchy–jensen Functional Inequality
In this paper, we investigate homomorphisms from unital C∗−algebras to unital Banach algebras and derivations from unital C∗−algebras to Banach A−modules related to a Cauchy–Jensen functional inequality. Mathematics subject classification (2010): 39B72, 46H30, 46B06.
متن کاملFunctional Equations Related to Inner Product Spaces
and Applied Analysis 3 for all x1, . . . , x2n ∈ V if and only if the odd mapping f : V → W is Cauchy additive, that is, f ( x y ) f x f ( y ) , 2.2 for all x, y ∈ V . Proof. Assume that f : V → W satisfies 2.1 . Letting x1 · · · xn x, xn 1 · · · x2n y in 2.1 , we get nf ( x − x y 2 ) nf ( y − x y 2 ) nf x nf ( y ) − 2nf ( x y 2 ) , 2.3 for all x, y ∈ V . Since f : V → W is odd, 0 nf x nf ( y )...
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: Operators and Matrices
سال: 2014
ISSN: 1846-3886
DOI: 10.7153/oam-08-47