Results 61 to 70 of about 218,978 (281)

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

On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces

Abstract and Applied Analysis, 2009
A bounded linear operator T on a Hilbert space ℋ, satisfying ‖T2h‖2+‖h‖2≥2‖Th‖2 for every h∈ℋ, is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex composition operator on a large class of weighted ...
Karim Hedayatian, Lotfollah Karimi
doaj   +1 more source

On the reduced minimum modulus of multiplication operators [PDF]

Mathematics and Computational Sciences
In this paper, we investigate the properties of the reduced minimum modulus in the context of Banach spaces. Given a Banach space $X$, we denote the algebra of bounded operators on $X$ as $B(X)$. Our primary focus is on examining the relationship between
Hamid Rezaei
doaj   +1 more source

Multiplication operators on the Banach algebra of bounded Φ-variation functions on compact subsets of ℂ

Demonstratio Mathematica, 2022
Let AΦ(K){{\mathbb{A}}}_{\Phi }\left({\bf{K}}) be the Banach algebra of bounded Φ\Phi -variation functions defined on a compact set K{\bf{K}} in the complex plane, hh a function defined on K{\bf{K}}, and Mh{M}_{h} a multiplication operator induced by hh.
Bracamonte Mireya, Ereú Jurancy, Marchan Luz   +2 more
doaj   +1 more source

Reflexivity of the translation-dilation algebras on L^2(R)

, 2003
The hyperbolic algebra A_h, studied recently by Katavolos and Power, is the weak star closed operator algebra on L^2(R) generated by H^\infty(R), as multiplication operators, and by the dilation operators V_t, t \geq 0, given by V_t f(x) = e^{t/2} f(e^t ...
Davidson K. R., Katavolos A., R. H. LEVENE, S. C. POWER, Sarason D.   +4 more
core   +1 more source

Long‐term hippocampal alterations and cognitive impairment in a murine model of surgical sepsis

FEBS Open Bio, EarlyView.
Using a mouse model of surgical sepsis, we tested long‐term memory and analyzed the transcriptome of single cells isolated from the hippocampus. Survivor mice showed worse memory, loss of certain brain cell subpopulations, and abnormal immune cell activity—suggesting that post‐sepsis brain alterations may be linked to cognitive deficits.
Dong Seong Cho, Rebecca Schmitt, Aneesha Dasgupta, Alexandra Ducharme, Jason Doles   +4 more
wiley   +1 more source

Extensions of nonclosable operators and multiplication of distributions

Журнал Белорусского государственного университета: Математика, информатика, 2019
In the paper some new constructions of extensions of nonclosable operators is proposed and several examples of applications are given. One of particular cases of the problem under consideration is the question on multiplication of distributions, a ...
Anatolij B. Antonevich, Cemal Dolicanin   +1 more
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

Derivation and characterization of retinal pigment epithelium from urine‐derived iPSCs

FEBS Open Bio, EarlyView.
Age‐related macular degeneration causes vision loss via RPE dysfunction and loss. Traditional iPSC therapies rely on invasive biopsies, limiting scalability. Here, we utilize urine‐derived stem cells as an accessible source to generate u‐iPSCs, successfully differentiated into pigmented RPE. This “Urine‐to‐Retina” platform provides a promising path for
Daniella Beiner, Hainan Zhu, Carol Christine Bosholm, Heuy‐Ching Wang, Tracy Criswell, Anthony Atala, Jian‐Xing Ma, Yuanyuan Zhang   +7 more
wiley   +1 more source

Multiplication Operators between Lipschitz-Type Spaces on a Tree

International Journal of Mathematics and Mathematical Sciences, 2011
Let ℒ be the space of complex-valued functions 𝑓 on the set of vertices 𝑇 of an infinite tree rooted at 𝑜 such that the difference of the values of 𝑓 at neighboring vertices remains bounded throughout the tree, and let ℒ𝐰 be the set of functions 𝑓∈ℒ such
Robert F. Allen, Flavia Colonna, Glenn R. Easley   +2 more
doaj   +1 more source