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of 31
pro vyhledávání: '"Abdellah El Kinani"'
Autor:
Abdellah El Kinani
Publikováno v:
Le Matematiche, Vol 69, Iss 2, Pp 237-242 (2014)
The purpose of this paper is to prove that if the Pták function p is an operator norm, on \mathcal{B}(E), associated to a norm | . |, then (E, | . |) is a pseudo-Hilbert space. As a consequence, we obtain that if \mathcal{B}(E) is a C*-algebra, then
Externí odkaz:
https://doaj.org/article/04f25940b9ac4308ab5822f429a7e917
Publikováno v:
Le Matematiche, Vol 64, Iss 1, Pp 179-193 (2009)
Let G be a locally compact group and ω be a weight on G. For p ∈ ]1, +∞ [, we give a necessary and sufficient condition, on ω, for L_ω^p (G) to be a Banach algebra. The case where ω is biinvariant under a subgroup K of G is also considered.
Externí odkaz:
https://doaj.org/article/79aee16190754d579026e390e456e366
Autor:
Rachid Choukri, Abdellah El Kinani
Publikováno v:
Le Matematiche, Vol 63, Iss 2, Pp 57-61 (2008)
We give a complete characterization of Q-F-algebras A which satisfy Ax = xAx for every x in A.
Externí odkaz:
https://doaj.org/article/f6f291dd412d47658e264450ea0530f7
Autor:
Abdellah El Kinani
Publikováno v:
Le Matematiche, Vol 61, Iss 2, Pp 275-286 (2006)
In this paper, we characterize the closed ideals of locally m-convex algebras as the linear closed subspaces that are invariant under translation. We also give a weighted algebra analogues of the classical theorems of N. Wiener and P. Lé́ vy on abs
Externí odkaz:
https://doaj.org/article/8b4650f384de4df1ac0a6be39fde30e9
Autor:
Abdellah El Kinani
Publikováno v:
Le Matematiche, Vol 57, Iss 2, Pp 175-183 (2002)
We examine the structure of a class of Sobolev spaces. We also show that the unitization of a locally uniformly A-convex algebra is not, in general, of the same type.
Externí odkaz:
https://doaj.org/article/3b22cccf09d24130b0ede9efe624ac25
Autor:
Mohamed Mazighi, Abdellah El Kinani
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 29
Autor:
Lahcen Bouchikhi, Abdellah El Kinani
Publikováno v:
Rocky Mountain Journal of Mathematics. 52
Publikováno v:
Banach J. Math. Anal. 3, no. 2 (2009), 55-63
We show that a regular von Neumann $Q$-$m$-convex Frechet algebra is of finite dimension. We also show that a regular von Neumann $m$-convex Frechet algebra is a projective limit of finite dimensional algebras. Finally, we prove that a bilateral $Q$-
Autor:
Abdellah El Kinani
Publikováno v:
Rendiconti del Circolo Matematico di Palermo. 57:343-352
We obtain weighted algebra analogues of the classical theorems of N. Weiner and P. Levy on absolutely convergent Fourier series
Autor:
Abdellah El Kinani
Publikováno v:
Rendiconti del Circolo Matematico di Palermo. 57:229-238
We endow any proper A-convex H*-algebra (E, τ) with a locally pre-C*-topology. The latter is equivalent to that introduced by the pre C*-norm given by Ptak function when (E, τ) is a Q-algebra. We also prove that the algebra of complex numbers is th