Zobrazeno 1 - 10
of 32
pro vyhledávání: '"42C15, 47A05"'
One of the most important problems in the studying of frames and its extensions is the invariance of these systems under perturbation. The current paper is concerned with the invariance of Modular biframes for operators under some class of closed ran
Externí odkaz:
http://arxiv.org/abs/2404.16059
Autor:
Arambašić, Ljiljana, Stoeva, Diana T.
Let $I\subseteq \Bbb N$ be a finite or infinite set and let ${(x_n)_{n\in I}}$ be a frame for a separable Hilbert space $\mathcal{H}$. Consider transmission of a signal $h\in\mathcal{H}$ where a finite subset $(\langle h,x_n\rangle)_{n\in E}$ of the
Externí odkaz:
http://arxiv.org/abs/2404.04464
In this paper, inspired by the concept of generalized weakly contractive mappings in metric spaces, we introduce C-Class function and fixed point theory for weakly contractive in the setting of rectangular $b$-metric spaces and established existence
Externí odkaz:
http://arxiv.org/abs/2305.11925
Autor:
Krishna, K. Mahesh, Johnson, P. Sam
We give an operator-algebraic treatment of theory of p-approximate Schuader frames which includes the theory of operator-valued frames by Kaftal, Larson, and Zhang [\textit{Trans. AMS., 2009}], G-frames by Sun [JMAA, 2006], factorable weak operator-v
Externí odkaz:
http://arxiv.org/abs/2201.03955
Autor:
Arambašić, Ljiljana, Stoeva, Diana T.
In this paper we study the problem of recovering a signal from frame coefficients with erasures. Suppose that erased coefficients are indexed by a finite set $E$. Starting from a frame $(x_n)_{n=1}^\infty$ and its arbitrary dual frame, we give suffic
Externí odkaz:
http://arxiv.org/abs/2011.07899
Due to the importance of frame representation by a bounded operator in dynamical sampling, researchers studied the frames of the form $\{T^{i-1} f\}_{i\in \mathbb{N}}$, which $f$ belongs to separable Hilbert space $\mathcal{H}$ and $T\in B(\mathcal{H
Externí odkaz:
http://arxiv.org/abs/2005.04395
Autor:
Bellomonte, Giorgia
Few years ago G\u{a}vru\c{t}a gave the notions of $K$-frame and atomic system for a linear bounded operator $K$ in a Hilbert space $\mathcal{H}$ in order to decompose $\mathcal{R}(K)$, the range of $K$, with a frame-like expansion. These notions are
Externí odkaz:
http://arxiv.org/abs/1912.13097
In this note we study the structure of shift-preserving operators acting on a finitely generated shift-invariant space. We define a new notion of diagonalization for these operators, which we call s-diagonalization. We give necessary and sufficient c
Externí odkaz:
http://arxiv.org/abs/1910.05188
Autor:
Bellomonte, Giorgia, Corso, Rosario
Publikováno v:
Adv. Comput. Math., 46(2), 38, (2020)
In 2012 G\u{a}vru\c{t}a introduced the notions of $K$-frame and of atomic system for a linear bounded operator $K$ in a Hilbert space $\mathcal{H}$, in order to decompose its range $\mathcal{R}(K)$ with a frame-like expansion. In this article we revi
Externí odkaz:
http://arxiv.org/abs/1812.10699
Autor:
Khedmati, Yavar, Ghobadzadeh, Fatemeh
Dynamical sampling, as introduced by Aldroubi et al., deals with frame properties of sequences of the form $\{T^i f_1\}_{i\in \mathbb{N}}$, where $f_1$ belongs to Hilbert space $\h$ and $T:\h\rightarrow\h$ belongs to certain classes of the bounded op
Externí odkaz:
http://arxiv.org/abs/1812.00386