Results 101 to 110 of about 2,406,090 (339)
Some weighted operator geometric mean inequalities
In this paper, using the extended Holder- -McCarthy inequality, several inequalities involving the α-weighted geometric mean ...
Alemeh Sheikhhosseini +2 more
doaj
A generalized q-numerical range [PDF]
For a given $q in kom$ with $|q| le 1$, we study the $C$-numerical range of a Hilbert space operator where $C$ is an operator of the form [ left( begin{array}{ccc} qI_n & sqrt{1-|q|^2}I_n \ 0_n & 0_n end{array} right) oplus 0. ] Some known results on the
R. Rajić
core
Some constants related to numerical ranges
In an attempt to progress towards proving the conjecture the numerical range W (A) is a 2--spectral set for the matrix A, we propose a study of various constants. We review some partial results, many problems are still open. We describe our corresponding
Crouzeix, Michel
core +2 more sources
Orthogonality and the numerical range. II
AbstractFor a continuous linear operator A on a Hilbert space X and unit vectors x and y, an investigation of the set W[x,y]={z∗Az:z∗z=1 and zϵspan{x,y}} reveals several new results about W(A), the numerical range of A. W[x,y] is an elliptical disk (possibly degenerate), and several conditions are given which imply that W[x,y] is a line segment.
Mary Embry-Wardrop, Kinkar Chandra Das
openaire +3 more sources
Novel and unscrutinized immune entities of the zebrafish gut
Understudied cells of the zebrafish immune system include bona fide immune cells and epithelial (‐derived) cells with immune functions. Research focusing on zebrafish cells which demonstrate similarities to mammalian immune cell counterparts may help us understand the pathologies in which they are implicated. Currently available and advanced tools make
Audrey Inge Schytz Andersen‐Civil +5 more
wiley +1 more source
The upper numerical range of a quaternionic matrix is not a complex numerical range
The paper deals with the study of convex properties of the numerical range of quaternionic matrices. If \(\mathbb{H}\) denotes the set of quaternions and \(Q \in \mathbb{H}^{n\times n}\), the numerical range of \(Q\) is defined by: \[ W(Q)={x^*Qx: x \in \mathbb{H}^{n\times n},\;x^*x=1}.
openaire +2 more sources
Single‐cell RNA sequencing reveals an opposite role of SLPI in basal tumors based on metastatic spread, along with shared activation of specific regulons in cancer cells and mature luminal lactocytes, as well as downregulation of MALAT1 and NEAT1 in the latter.
Pietro Ancona +4 more
wiley +1 more source
Computing the numerical range of Krein space operators
Consider the Hilbert space (H,〈• , •〉) equipped with the indefinite inner product[u,v]=v*J u,u,v∈ H, where J is an indefinite self-adjoint involution acting on H.
Bebiano Natalia +3 more
doaj +1 more source
Imeglimin attenuates liver fibrosis by inhibiting vesicular ATP release from hepatic stellate cells
Imeglimin, at clinically relevant concentrations, inhibits vesicular ATP accumulation and release from hepatic stellate cells, thereby attenuating purinergic signaling and reducing fibrogenic activation. This mechanism reveals a newly identified antifibrotic action of imeglimin beyond glycemic control.
Seiji Nomura +8 more
wiley +1 more source
Semidefinite geometry of the numerical range
The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matrices (or semidefinite cone for short). In particular it is shown that the feasible set of a two-dimensional linear matrix inequality (LMI), an affine ...
Henrion, Didier
core +1 more source

