Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Abdellatif Chahbi"'
Publikováno v:
Mathematica Bohemica, Vol 141, Iss 1, Pp 59-70 (2016)
Let $\mathcal{H}$ be a complex Hilbert space, $A$ a positive operator with closed range in $\mathscr{B}(\mathcal{H})$ and $\mathscr{B}_A(\mathcal{H})$ the sub-algebra of $\mathscr{B}(\mathcal{H})$ of all $A$-self-adjoint operators. Assume $\phi \math
Externí odkaz:
https://doaj.org/article/beeed28d9ba142be9a9f1e74f9934f81
Publikováno v:
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 14, Pp 149-162 (2015)
In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation ∑ k ∈ K f(x+ k.y)= Lf(x)+ Lf(y), x,y ∈ E, where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability
Externí odkaz:
https://doaj.org/article/1c07fabb1d4e4448a0e9a2698563b375
Autor:
Abdellatif Chahbi, Samir Kabbaj
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 21, Iss 1, Pp 109-117 (2015)
Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. We give the concrete forms of surjective continuous unital linear maps from B(H) onto itself that preserve G-unitary operators.
Externí odkaz:
https://doaj.org/article/6cedf33064a440fab1a2cc8e67213f4f
In this paper, we determine the complex-valued solutions of the functional equation $$ f(x\sigma(y))+f(\tau(y)x)=2f(x)f(y)$$ for all $x,y \in M$, where $M$ is a monoid, $\sigma$: $M\longrightarrow M$ is an involutive automorphism and $\tau$: $M\longr
Externí odkaz:
http://arxiv.org/abs/2010.03974
Publikováno v:
Acta Mathematica Sinica, English Series. 38:1303-1316
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::822ec72504ade54b7332406ef78f62a4
https://doi.org/10.1007/s10114-022-1233-0
https://doi.org/10.1007/s10114-022-1233-0
Autor:
Elhoucien Elqorachi, Abdellatif Chahbi
Publikováno v:
Bulletin of the Iranian Mathematical Society. 48:1127-1142
In this paper, we determine the complex-valued solutions of the functional equation $$\begin{aligned} f(x\sigma (y))+f(\tau (y)x)=2f(x)f(y) \end{aligned}$$ for all $$x,y \in M$$ , where M is a monoid, $$\sigma $$ : $$M\longrightarrow M$$ is an involu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6141f4cf2f8a9212a8e15de9c157fd68
https://doi.org/10.1007/s41980-021-00568-w
https://doi.org/10.1007/s41980-021-00568-w
Autor:
Abdellatif Chahbi, Muaadh Almahalebi
Publikováno v:
Annals of the Alexandru Ioan Cuza University - Mathematics. 67:1-10
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b455aafa56aaa4e80bdbd6712c3c18ac
https://doi.org/10.47743/anstim.2021.00001
https://doi.org/10.47743/anstim.2021.00001
Publikováno v:
São Paulo Journal of Mathematical Sciences. 14:301-311
Let X be a normed space, Y be a Banach space and $$f,g: X\rightarrow Y$$. In this paper, we investigate the Hyers–Ulam stability theorem for the generalized quadratic functional equation $$\begin{aligned} f(kx+y)+f(kx-y)=2k^2g(x)+2f(y) \end{aligned
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::792bc616bd34760532e5d7cb896f47cf
https://doi.org/10.1007/s40863-019-00157-0
https://doi.org/10.1007/s40863-019-00157-0
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 26:37-43
Let $${\mathscr {H}}$$ be a complex Hilbert space and $${\mathscr {B}}({\mathscr {H}})$$ the algebra of all bounded linear operators on $${\mathscr {H}}$$. We give the concrete forms of surjective continue unital linear maps from $${\mathscr {B}}({\m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34d99c7ce4acceec4edf770d29f6313c
https://doi.org/10.1007/s40590-019-00238-2
https://doi.org/10.1007/s40590-019-00238-2
Autor:
Iz-iddine EL-Fassi, Abdellatif Chahbi
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 27
Let $${\mathbb {C}}$$ be the set of complex numbers and $$\sigma $$ be a continuous automorphism and $$\tau $$ be a continuous anti-automorphism such that $$\sigma ^{2}=\tau ^{2}=id.$$ The purpose of this paper is to generalize the small-dimension le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::461902f6029fd9af9e553133df92354b
https://doi.org/10.1007/s40590-021-00352-0
https://doi.org/10.1007/s40590-021-00352-0