Results 101 to 110 of about 419,543 (296)
Spatial Numerical Range of Operators on Weighted Hardy Spaces
International Journal of Mathematics and Mathematical Sciences, 2011 We consider the spatial numerical range of operators on weighted Hardy spaces and give conditions for closedness of numerical range of compact operators.
Abdolaziz Abdollahi +1 more
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Cell‐free DNA aneuploidy score as a dynamic early response marker in prostate cancer
Molecular Oncology, EarlyView.mFast‐SeqS‐based genome‐wide aneuploidy scores are concordant with aneuploidy scores obtained by whole genome sequencing from tumor tissue and can predict response to ARSI treatment at baseline and, at an early time point, to ARSI and taxanes. This assay can be easily performed at low cost and requires little input of cfDNA. Cell‐free circulating tumor
Khrystany T. Isebia +17 more
wiley +1 more source
On the operators with numerical range in an ellipse
Journal of Functional AnalysisWe give new necessary and sufficient conditions for the numerical range $W(T)$ of an operator $T \in \mathcal{B}(\mathcal{H})$ to be a subset of the closed elliptical set $K_δ\subseteq \mathbb{C}$ given by \[ K_δ{\stackrel{\rm def}{=}} \left\{x+iy: \frac{x^2}{(1+δ)^2} + \frac{y^2}{(1-δ)^2} \leq 1\right\}, \] where $0 < δ< 1$.
Jim Agler, Zinaida A. Lykova, N.J. Young
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Molecular Oncology, EarlyView.MET variants in the N‐lobe of the kinase domain, found in hereditary papillary renal cell carcinoma, require ligand stimulation to promote cell transformation, in contrast to other RTK variants. This suggests that HGF expression in the microenvironment is important for tumor growth in such patients. Their sensitivity to MET inhibitors opens the way for
Célia Guérin +14 more
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The Numerical Range of Toeplitz Operator on the Polydisk
Abstract and Applied Analysis, 2009 The numerical range and normality of Toeplitz operator acting on the Bergman space and pluriharmonic Bergman space on the polydisk is investigated in this paper.
Dinggui Gu
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On Extreme Points of the Numerical Range of Normal Operators [PDF]
, 1965 C. R. MacCluer
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Adverse prognosis gene expression patterns in metastatic castration‐resistant prostate cancer
Molecular Oncology, EarlyView.We aggregated a cohort of 1012 mCRPC tissue samples from 769 patients and investigated the association of gene expression‐based pathways with clinical outcomes. Loss of AR signaling, high proliferation, and a glycolytic phenotype were independently prognostic for poor outcomes, and an adverse transcriptional feature score incorporating these pathways ...
Marina N. Sharifi +26 more
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On numerical range and its application to Banach algebras [PDF]
, 1972 Brailey Sims
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