Results 41 to 50 of about 463,320 (265)
On the Numerical Range and Numerical Radius of the Volterra Operator
Известия Иркутского государственного университета: Серия "Математика", 2018 In this paper, we investigated the numerical range and the numerical radius of the classical Volterra operator on the complex space $L^2[0,1]$. In particular, we determined the numerical range, the numerical radius of real and imaginary part of the ...
L. Khadkhuu, D. Tsedenbayar
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NUMERICAL RANGE AND PONCELET PROPERTY
Taiwanese Journal of Mathematics, 2003 This expository article gives an account of the recent developments on the Poncelet property for numerical ranges of the compressions of the shift~\(S(\phi)\). It can be considered as an updated and more advanced edition of the recent expository article published by \textit{P. Y. Wei} [Am. Math. Mon. 107, No. 6, 528--540 (2000; Zbl 0985.51016)].
Gau, Hwa-Long, Wu, Pei Yuan
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
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Journal of Mathematical Analysis and Applications, 2003 Let \({\mathfrak a}\) be a complex Banach algebra with unit \(e\). The algebraic numerical range \(V(a)\) of an element \(a\) in \({\mathfrak a}\) is the set \(\{f(a): f\) is a bounded linear functional on \({\mathfrak a}\) such that \(f(e)= \| f\|=1\}\).
Li, Chi-Kwong +2 more
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
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On Birkhoff – James and Roberts orthogonality
Special Matrices, 2018 In this paper we present some recent results on characterizations of the Birkhoff-James and the Roberts orthogonality in C*-algebras and Hilbert C*-modules.
Arambašic Ljiljana, Rajic Rajna
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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Norm Properties of $S$-Universal Operators
Communications in Advanced Mathematical Sciences, 2020 We investigate the norm properties of a generalized derivation on a norm ideal $\mathcal{J}$ in $\mathcal{B}(H)$, the algebra of bounded linear operators on a Hilbert space $H$.
Joshua Muholo, Job Bonyo
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The role and implications of mammalian cellular circadian entrainment
FEBS Letters, EarlyView.At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
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