Zobrazeno 1 - 10
of 217
pro vyhledávání: '"Kabbaj, Samir"'
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
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
In this present paper we introduce weaving Hilbert space frames in the continuous case, we give new approaches for manufacturing pairs of woven continuous frames and we obtain new properties in continuous weaving frame theory related to dual frames.
Externí odkaz:
http://arxiv.org/abs/2305.03494