Zobrazeno 1 - 10
of 218
pro vyhledávání: '"Kabbaj Samir"'
Autor:
Idrissi Nizar El, Kabbaj Samir
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 9, Iss 1, Pp 86-96 (2023)
In [Appl. Comput. Harmon. Anal., 46 (2019), 664673] O. Christensen and M. Hasannasab observed that assuming the existence of an operator T sending en to en+1 for all n ∈ ℕ (where (en)n∈ℕ is a sequence of vectors) guarantees that (en)n∈ℕ i
Externí odkaz:
https://doaj.org/article/cd39913e48854815be4661a6e2d36ec3
Autor:
Kabbaj, Samir, Karkri, Rafik
We generalize some of the well-known results of Karlin and James to Banach spaces with besselian Schauder frames (then in particular with unconditional Schauder frames). It is well-known that each Banach space with an unconditional Schauder basis has
Externí odkaz:
http://arxiv.org/abs/2411.00777
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 7, Iss 1, Pp 116-133 (2021)
K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, w
Externí odkaz:
https://doaj.org/article/b64a9c27d61b4e5e846742e9b2bc960a
In this paper, we study multiwindow discrete Gabor $(M-D-G)$ systems $\mathcal{G}(g,L,M,N)$ on discrete periodic sets $\mathbb{S}$ and give some necessary and/or sufficient matrix-conditions for a $M-D-G$ system in $\ell^2(\mathbb{S})$ to be a frame.
Externí odkaz:
http://arxiv.org/abs/2407.05495
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 10, Iss 1, Pp 46-55 (2018)
Let (G,+) be a locally compact abelian Hausdorff group, 𝓀 is a finite automorphism group of G, κ = card𝒦 and let µ be a regular compactly supported complex-valued Borel measure on G such that μ(G)=1κ$\mu ({\rm{G}}) = {1 \over \kappa }$. We
Externí odkaz:
https://doaj.org/article/ef755b4410124c30af8e9fd872915fa2
In this work, we provide some constructions and the sum of new continuous K-g-frames in Hilbert$C^{\ast}$-Modules. We provide certain necessary and sufficient conditions for some adjointable operators on $\mathcal{H}$, under which new continuous K-g-
Externí odkaz:
http://arxiv.org/abs/2402.02291
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 9, Iss 1, Pp 45-52 (2017)
All paper is related with the non-zero continuous solutions f : G → ℂ of the functional equation f(xσ(y))+f(τ(y)x)=2f(x)f(y), x,y∈G,$${\rm{f}}({\rm{x}}\sigma ({\rm{y}})) + {\rm{f}}(\tau ({\rm{y}}){\rm{x}}) = 2{\rm{f}}({\rm{x}}){\rm{f}}({\rm{y
Externí odkaz:
https://doaj.org/article/482754f0d71449a08fcc70d1de41d651
Publikováno v:
Proyecciones (Antofagasta), 41(5):1141-1152, 2022
We introduce the "test space and pairing" idea for frames and apply it to the $\ell^2$ and $L^2$ spaces. First, we show that for every $J \neq \emptyset$, the notions of a classical $I$-frame with values in $H$ and a $J$-extended classical $I$-frame
Externí odkaz:
http://arxiv.org/abs/2311.11800
We consider the stability of Schauder frames and besselian Schauder frames under perturbations. Our results are inspirit close to the results of Heil [18].
Externí odkaz:
http://arxiv.org/abs/2311.10758
Publikováno v:
Demonstratio Mathematica, Vol 49, Iss 4, Pp 413-420 (2016)
We determine the solutions f : S → H of the following functional equation
Externí odkaz:
https://doaj.org/article/d6e6ac3475f24cc0b798c32184bdc4ec