Results 71 to 80 of about 2,406,090 (339)
The C-Numerical Range in Infinite Dimensions
, 2018 In infinite dimensions and on the level of trace-class operators $C$ rather than matrices, we show that the closure of the $C$-numerical range $W_C(T)$ is always star-shaped with respect to the set $\operatorname{tr}(C)W_e(T)$, where $W_e(T)$ denotes the
Dirr, Gunther, Ende, Frederik vom
core +1 more source
Circulating histones as clinical biomarkers in critically ill conditions
FEBS Letters, EarlyView.Circulating histones are emerging as promising biomarkers in critical illness due to their diagnostic, prognostic, and therapeutic potential. Detection methods such as ELISA and mass spectrometry provide reliable approaches for quantifying histone levels in plasma samples.
José Luis García‐Gimenez +17 more
wiley +1 more source
On numerical range of sp(2n, C)
Special Matrices, 2016 In this paper we studied the classical numerical range of matrices in sp(2n, C). We obtained some result on the relationship between the numerical range of a matrix in and that of its diagonal block, the singular values of its off-diagonal block A2.
Yan Wen, Tao Jicheng, Lu Zhao
doaj +1 more source
, 2008 Results on matrix canonical forms are used to give a complete description of the higher rank numerical range of matrices arising from the study of quantum error correction.
Li, Chi-Kwong, Sze, Nung-Sing
core +1 more source
Linear Algebra and its Applications, 2015 Abstract Relying on the ideas of Stampfli [14] and Magajna [12] we introduce, for operators S and T on a separable complex Hilbert space, a new notion called the numerical range of S relative to T at r ∈ σ ( | T | ) . Some properties of these numerical ranges are proved.
Bracic, J., Diogo, C.
openaire +3 more sources
On the closure of the numerical range of an operator [PDF]
Proceedings of the American Mathematical Society, 1967 If T is a bounded linear mapping (briefly, operator) in a Hilbert space SC, the numerical range of T is the set W(T) = { (Tx, x): x|| ==1}; thus W(T) is convex [8, p. 131], and its closure cl[W(T)] is compact and convex. Roughly speaking, in this note we observe that cl [W(T)] can be uniquely defined for an element T of an abstract C*-algebra, while W ...
G. H. Orland, S. K. Berberian
openaire +2 more sources
Mechanisms and kinetic assays of aminoacyl‐tRNA synthetases
FEBS Letters, EarlyView.Accurate protein synthesis is crucial for life. The key players are aminoacyl‐tRNA synthetases (AARSs), which read the genetic code by pairing cognate amino acids and tRNAs. AARSs establish high amino acid selectivity by employing physicochemical limits in molecular recognition.
Igor Zivkovic +2 more
wiley +1 more source
Continuous Selections of the Inverse Numerical Range Map
, 2015 For a complex $n$-by-$n$ matrix $A$, the numerical range $F(A)$ is the range of the map $f_A(x) = x^*A x$ acting on the unit sphere in $\C^n$. We ask whether the multivalued inverse numerical range map $f_A^{-1}$ has a continuous single-valued selection ...
Lins, Brian, Parihar, Parth
core +1 more source
FEBS Letters, EarlyView.Knowing how proteases recognise preferred substrates facilitates matching proteases to applications. The S1′ pocket of protease EA1 directs cleavage to the N‐terminal side of hydrophobic residues, particularly leucine. The S1′ pocket of thermolysin differs from EA's at only one position (leucine in place of phenylalanine), which decreases cleavage ...
Grant R. Broomfield +3 more
wiley +1 more source
Numerical Implementation of Harmonic Polylogarithms to Weight w = 8
, 2018 We present the FORTRAN-code HPOLY.f for the numerical calculation of harmonic polylogarithms up to w = 8 at an absolute accuracy of $\sim 4.9 \cdot 10^{-15}$ or better. Using algebraic and argument relations the numerical representation can be limited to
Ablinger, J. +3 more
core +2 more sources