Zobrazeno 1 - 10
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pro vyhledávání: '"A Kabbaj"'
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
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
Autor:
Kabbaj, Abdourrahmane
The class of $N$-Koszul graded algebras of finite global dimension has gained lots of attention in recent years, especially in the study of Artin-Schelter regular algebras. While structurally rich and concrete, the only known examples of such algebra
Externí odkaz:
http://arxiv.org/abs/2404.10125
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:
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
Our main goal in this paper, is to generalize to Hilbert C*-modules the concept of fusion frames. Indeed we introduce the notion of *\~nfusion frames associated to weighted sequences of orthogonally complemented submodules of a Hilbert C*-module, and
Externí odkaz:
http://arxiv.org/abs/2308.10017
In this paper, we prove the following results. There exists a Banach space without basis which has a Schauder frame. There exists an universal Banach space $B$ (resp. $\tilde{B}$) with a basis (resp. an unconditional basis) such that, a Banach $X$ ha
Externí odkaz:
http://arxiv.org/abs/2307.09174
In this paper, we will generelize $b$-frames; a new concept of frames for Hilbert spaces, by $K$-$b$-frames. The idea is to take a sequence from a Banach space and see how it can be a frame for a Hilbert space. Instead of the scalar product we will u
Externí odkaz:
http://arxiv.org/abs/2303.16057
In this paper, we give a characterization and a some properties of a besselian sequences, which allows us to build some examples of a besselian Schauder frames. Also for a reflexive Banach spaces (with a besselian Schauder frames) we give some charac
Externí odkaz:
http://arxiv.org/abs/2304.05952