Results 51 to 60 of about 211,713 (326)

Multiplicative structures of hypercyclic functions for convolution operators

, 2017
In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator associated to a given entire ...
Bernal-González, Luis, Conejero, J. Alberto, Costakis, George, Seoane-Sepúlveda, Juan B.   +3 more
core   +1 more source

Multiplication operators on $L^{p}$ [PDF]

Studia Mathematica, 2019
We show that every operator on $L^{p ...
openaire   +2 more sources

The epithelial barrier theory proposes a comprehensive explanation for the origins of allergic and other chronic noncommunicable diseases

FEBS Letters, EarlyView.
Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu, Huseyn Babayev, Ismail Ogulur, Sena Ardicli, Yagiz Pat, Duygu Yazici, Bingjie Zhao, Lihong Chang, Xiaoqing Liu, Paolo D'Avino, Manru Li, Ceren Biçer, Fatma Hacer Kurtoğlu Babayev, Raja Dhir, Kari C. Nadeau, Marie‐Charlotte Brüggen, Mubeccel Akdis, Cezmi A. Akdis   +17 more
wiley   +1 more source

On Similarity and Reducing Subspaces of the n-Shift plus Certain Weighted Volterra Operator

Journal of Function Spaces, 2017
Let g(z) be an n-degree polynomial (n≥2). Inspired by Sarason’s result, we introduce the operator T1 defined by the multiplication operator Mg plus the weighted Volterra operator Vg on the Bergman space.
Yucheng Li, Hao Chen, Wenhua Lan
doaj   +1 more source

A note on Nakano generalized difference sequence space

Advances in Difference Equations, 2020
In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

On the compactness and the essential norm of operators defined by infinite tridiagonal matrices

Concrete Operators, 2023
In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander, Ramos-Fernández Julio C., Salas-Brown Margot   +2 more
doaj   +1 more source

On a Sum of More Complex Product-Type Operators from Bloch-Type Spaces to the Weighted-Type Spaces

Axioms, 2023
The aim of the present paper is to completely characterize the boundedness and compactness of a sum operator defined by some more complex products of composition, multiplication, and mth iterated radial derivative operators from Bloch-type spaces to ...
Cheng-Shi Huang, Zhi-Jie Jiang
doaj   +1 more source

Weighted norm inequalities for polynomial expansions associated to some measures with mass points

, 1995
Fourier series in orthogonal polynomials with respect to a measure $\nu$ on $[-1,1]$ are studied when $\nu$ is a linear combination of a generalized Jacobi weight and finitely many Dirac deltas in $[-1,1]$.
A. M. Krall, A. Máté, B. Muckenhoupt, B. Muckenhoupt, B. Muckenhoupt, C. E. Kenig, C. Segovia, C. Segovia, C. Segovia, E. A. Rahmanov, E. Laeng, E. M. Stein, F. J. Ruiz, F. V. Atkinson, G. Szegõ, H. Pollard, J. García-Cuerva, J. García-Cuerva, J. J. Guadalupe, J. J. Guadalupe, J. J. Guadalupe, J. J. Guadalupe, J. L. Varona, J.E. Gilbert, J.J. Guadalupe, J.J. Guadalupe, L. Colzani, L. L. Littlejohn, M. Pérez, R. Askey, R.R. Coifman, R.R. Coifman, S. Bloom, S. Chanillo, T. Koornwinder, T. S. Chihara, V. M. Badkov   +36 more
core   +2 more sources

From omics to AI—mapping the pathogenic pathways in type 2 diabetes

FEBS Letters, EarlyView.
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan, Lu Qi, Pierre Zalloua   +2 more
wiley   +1 more source

Chaotic roots of the modular multiplication dynamical system in Shor's algorithm

Physical Review Research
Shor's factoring algorithm, believed to provide an exponential speedup over classical computation, relies on finding the period of an exactly periodic quantum modular multiplication operator. This exact periodicity is the hallmark of an integrable system,
Abu Musa Patoary, Amit Vikram, Laura Shou, Victor Galitski   +3 more
doaj   +1 more source