Results 71 to 80 of about 443,680 (282)

Hyperinvariant subspace for absolutely norm attaining and absolutely minimum attaining operators

, 2020
A bounded linear operator $T$ defined on a Hilbert space $H$ is called \textit{norm attaining} if there exist $x\in H$ with unit norm such that $\|Tx\|=\|T\|$.
Bala, Neeru, Ramesh, Golla
core  

Targeted modulation of IGFL2‐AS1 reveals its translational potential in cervical adenocarcinoma

Molecular Oncology, EarlyView.
Cervical adenocarcinoma patients face worse outcomes than squamous cell carcinoma counterparts despite similar treatment. The identification of IGFL2‐AS1's differential expression provides a molecular basis for distinguishing these histotypes, paving the way for personalized therapies and improved survival in vulnerable populations globally.
Ricardo Cesar Cintra, Lucca Paolo Hsu Helmich, Daniel Rodrigues de Bastos, Laura Sichero, Patrícia Savio de Araujo‐Souza, Fabio Passetti, Luisa Lina Villa   +6 more
wiley   +1 more source

Generalized Dantzig Selector: Application to the k-support norm [PDF]

, 2015
We propose a Generalized Dantzig Selector (GDS) for linear models, in which any norm encoding the parameter structure can be leveraged for estimation. We investigate both computational and statistical aspects of the GDS.
Banerjee, Arindam, Chatterjee, Soumyadeep, Chen, Sheng   +2 more
core  

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

Molecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson, Lyanne Delgado‐Coka, Natalia Marchenko, Luisa F. Escobar‐Hoyos, Kenneth R. Shroyer, Alisa Yurovsky, Trey Ideker, Gábor Balázsi, Thomas MacCarthy, Scott Powers   +9 more
wiley   +1 more source

Linear extension operators for Sobolev spaces on radially symmetric binary trees

Advanced Nonlinear Studies, 2023
Let ...
Fefferman Charles, Klartag Bo’az
doaj   +1 more source

Norm Attaining Operators and Pseudospectrum [PDF]

Integral Equations and Operator Theory, 2009
It is shown that if $11$, the operator $I+T$ attains its norm. A reflexive Banach space $X$ and a bounded rank one operator $T$ on $X$ are constructed such that $\|I+T\|>1$ and $I+T$ does not attain its norm.
openaire   +2 more sources

Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining

Molecular Oncology, EarlyView.
IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis, Jack V. Mills, Wojciech Niedzwiedz, Valentine M. Macaulay   +3 more
wiley   +1 more source

Learning neural operators on Riemannian manifolds

National Science Open
Learning mappings between functions (operators) defined on complex computational domains is a common theoretical challenge in machine learning. Existing operator learning methods mainly focus on regular computational domains, and have many components ...
Chen Gengxiang, Liu Xu, Meng Qinglu, Chen Lu, Liu Changqing, Li Yingguang   +5 more
doaj   +1 more source

Norm estimates for operators in norm-attainable C*-algebras

European Journal of Mathematics and Applications, 2023
Norm estimates for various types of Banach algebra operators have been studied over decades with interesting results obtained. However, it still remains an open problem to determine the norm of an operator in a general Banach space setting. In this note,
Sabasi Omaoro, Benard Okelo, Omolo Ongati   +2 more
doaj  

ON THE NORM ATTAINING OPERATORS [PDF]

Korean Journal of Mathematics, 2012
Summary: In this paper, we show the norm attaining paranormal operators have a nontrivial invariant subspace. Also, we show the norm attaining quadratically hyponormal weighted shift is subnormal.
openaire   +1 more source