Results 41 to 50 of about 714 (196)

Continuous Riesz bases in Hilbert C*-modules [PDF]

, 2022
The paper is devoted to continuous frames and Riesz bases in Hilbert C*-modules. we define a continuous Riesz basis for Hilbert C*-modules and give some results about them.Comment: arXiv admin note: substantial text overlap with arXiv:2208 ...
Ghasemi, Hadi, Shateri, Tayebe Lal
core   +1 more source

Characterizing Riesz bases via biorthogonal Bessel sequences [PDF]

, 2023
Recently D.T. Stoeva proved that if two Bessel sequences in a separable Hilbert space $\mathcal H$ are biorthogonal and one of them is complete in $\mathcal H$, then both sequences are Riesz bases for $\mathcal H$. This improves a well known result where
E. Zikkos, Zikkos, E.
core   +1 more source

Riesz bases of exponentials for finite unions of intervals [PDF]

, 2022
I denne oppgaven studerer vi Riesz-basiser av eksponentialfunksjoner for rommet $L^2(\Omega)$, der $\Omega \subset \bb{R}^d$. Hovedfokuset i oppgaven er å presentere Kozma og Nitzan sitt bevis for at det finnes en Riesz-basis av eksponentialfunksjoner ...
Instanes, Sarah May
core  

Characterizing the R-duality of g-frames

Journal of Inequalities and Applications, 2019
In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with respect to g-orthonormal bases for a separable Hilbert space.
Liang Li, Pengtong Li
doaj   +1 more source

Fractal Frames of Functions on the Rectangle

Fractal and Fractional, 2021
In this paper, we define fractal bases and fractal frames of L2(I×J), where I and J are real compact intervals, in order to approximate two-dimensional square-integrable maps whose domain is a rectangle, using the identification of L2(I×J) with the ...
María A. Navascués, Ram Mohapatra, Md. Nasim Akhtar   +2 more
doaj   +1 more source

Binary Operations in Metric Spaces Satisfying Side Inequalities

Mathematics, 2021
The theory of metric spaces is a convenient and very powerful way of examining the behavior of numerous mathematical models. In a previous paper, a new operation between functions on a compact real interval called fractal convolution has been introduced.
María A. Navascués, Pasupathi Rajan, Arya Kumar Bedabrata Chand   +2 more
doaj   +1 more source

On Construction of Bounded Sets Not Admitting a General Type of Riesz Spectrum

Axioms
We construct a bound set that does not admit a Riesz spectrum containing a nonempty periodic set for which the period is a rational multiple of a fixed constant.
Dae Gwan Lee
doaj   +1 more source

Amenability Constants for Unconditional Sums of Banach Algebras

Mathematische Nachrichten, EarlyView.
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley   +1 more source

Riesz bases of exponentials on unbounded multi-tiles [PDF]

Proceedings of the American Mathematical Society, 2018
We prove the existence of Riesz bases of exponentials of L 2 (
Cabrelli, Carlos, Carbajal, Diana Agustina   +1 more
openaire   +4 more sources

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source