Results 91 to 100 of about 604,967 (307)
Some results on S-numerical range of operator matrices
A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of the Hilbert space. In this paper, we found an approximation of the S-numerical range of bounded and unbounded operator matrices by variation
Berivan faris azeez, Ahmed Muhammad
doaj +1 more source
ABSTRACT Introduction This study investigated the safety and efficacy of single‐needle Rheocarna therapy for chronic limb‐threatening ischemia (CLTI) with wounds. Methods Six patients with CLTI involving ulcers unresponsive to revascularization underwent single‐needle Rheocarna treatment.
Yasutaka Yamauchi +9 more
wiley +1 more source
The block numerical range (BNR) of a block operator matrix is a generalization of the numerical range of an operator acting on a Hilbert space. Main topics of this thesis are block diagonalizability of a block operator matrix if its BNR consists of the ...
Wagenhofer, Markus
core
Normality and the numerical range
It is well known that if A is an n by n normal matrix, then the numerical range of A is the convex hull of its spectrum. The converse is valid for n ⩽ 4 but not for larger n.
Johnson, Charles R.
core +1 more source
Exploring the ocean mesoscale at reduced computational cost with FESOM 2.5: efficient modeling strategies applied to the Southern Ocean [PDF]
Modeled projections of climate change typically do not include a well-resolved ocean mesoscale due to the high computational cost of running high-resolution models for long time periods.
N. Beech +4 more
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ABSTRACT Introduction Patients requiring long‐term continuous renal replacement therapy (CRRT) generally have poor prognoses. This study evaluated whether adding continuous intravenous sodium infusion (cIVNa) is associated with improved hemodynamics and outcomes in patients undergoing long‐term CRRT for ≥ 7 days.
Akinori Yamaguchi +6 more
wiley +1 more source
Inequalities for the Numerical Radius in Unital Normed Algebras
In this paper, some inequalities between the numerical radius of an element from a unital normed algebra and certain semi-inner products involving that element and the unity are ...
Dragomir, Sever S
core
Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
wiley +1 more source
On the joint numerical status and tensor products
We prove a result on the joint numerical status of the bounded Hilbert space operators on the tensor products. The result seems to have nice applications in the multiparameter spectral theory.
Ram Verma, Lokenath Debnath
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On the boundary of numerical ranges of operators
The boundary of numerical ranges of operators has attracted the attention of a number of mathematicians. A new characterization of an attained boundary point of the numerical range of an operator on a Hilbert space is established. As an application, the authors point out a gap in the proof of the main result in the paper [\textit{M.\,T.
Hai-Yan Zhang +3 more
openaire +2 more sources

