Results 71 to 80 of about 382,466 (311)

Imaging of Biphoton States: Fundamentals and Applications

Advanced Functional Materials, EarlyView.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source

Some Inequalities for Certain p-Valent Functions Connected with the Combination Binomial Series and Confluent Hypergeometric Function

Axioms, 2022
The present paper deals with a new differential operator denoted by Fp,tδ,n,b,c,m,β, whose certain properties are deduced by using well-known earlier studies regarding differential inequalities and the Caratheodory function.
Sheza M. El-Deeb, Adriana Cătaş
doaj   +1 more source

Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions [PDF]

Memoirs of the American Mathematical Society, 2014
An operator C on a Hilbert space H dilates to an operator T on a Hilbert space K if there is an isometry V from H to K such that C=V^*TV. A main result of this paper is, for a positive integer d, the simultaneous dilation, up to a sharp factor $\vartheta(
J. Helton, I. Klep, S. McCullough, M. Schweighofer   +3 more
semanticscholar   +1 more source

Classifying linear matrix inequalities via abstract operator systems

Linear Algebra and its Applications
We systematically study how properties of abstract operator systems help classifying linear matrix inequality definitions of sets. Our main focus is on polyhedral cones, the 3-dimensional Lorentz cone, where we can completely describe all defining linear matrix inequalities, and on the cone of positive semidefinite matrices.
Martin Berger, Tom Drescher, Tim Netzer
openaire   +3 more sources

Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges

Advanced Functional Materials, EarlyView.
Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley   +1 more source

PPT from spectra

, 2005
In this contribution we solve the following problem. Let H_{nm} be a Hilbert space of dimension nm, and let A be a positive semidefinite self-adjoint linear operator on H_{nm}. Under which conditions on the spectrum has A a positive partial transpose (is
Hildebrand, Roland
core   +1 more source

A-numerical radius inequalities for semi-Hilbertian space operators [PDF]

Linear Algebra and its Applications, 2019
Let $A$ be a positive bounded operator on a Hilbert space $\big(\mathcal{H}, \langle \cdot, \cdot\rangle \big)$. The semi-inner product ${\langle x, y\rangle}_A := \langle Ax, y\rangle$, $x, y\in\mathcal{H}$ induces a semi-norm ${\|\cdot\|}_A$ on ...
A. Zamani
semanticscholar   +1 more source

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

Advanced Functional Materials, EarlyView.
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley   +1 more source

A three-point boundary value problem with an integral condition for a third-order partial differential equation

Abstract and Applied Analysis, 2005
We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the operator generated.
C. Latrous, A. Memou
doaj   +1 more source

Some refinements of operator reverse AM-GM mean inequalities

Journal of Inequalities and Applications, 2017
In this paper, we prove the operator inequalities as follows: Let A , B $A,B$ be positive operators on a Hilbert space with 0 < m ≤ A , B ≤ M $0 < m \le A,B \le M$ and M m ≤ 2.314 $\sqrt{\frac{M}{m}} \le2.314$ .
Jianming Xue
doaj   +1 more source