Results 131 to 140 of about 2,406,090 (339)
Numerical range of linear pencils
Linear Algebra and its Applications, 2000 For a linear pencil \(A\lambda +B\) (\(A, B\) are complex \(n\times n\) matrices) the numerical range of \(A\lambda +B\) is defined as \(W(A\lambda +B)=\{\lambda \in {\mathbb{C}}\): \(x^*(A\lambda +B)x=0\) for some nonzero \(x\in {\mathbb{C}}^n\}\), being a generalization of the classical one.
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The closure of the numerical range contains the spectrum [PDF]
, 1964 Eduardo H. Zarantonello
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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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Numerical ranges of composition operators
Linear Algebra and its Applications, 2001 Let \(H^2\) be the usual Hardy space of analytic functions \(\sum^\infty_{n=0} a_nz^n\) with square summable Taylor coefficients. \(H^2\) becomes a Hilbert space if endowed with the inner product \(\langle f,g\rangle= \sum^\infty_{n=0} a_n b_n\). The author studies the numerical range \(W(T)= \{\langle Tf, f\rangle:\|f\|= 1\}\) of certain composition ...
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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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The joint numerical range and the joint essential numerical range
, 2015 Let B(H) denote the algebra of bounded linear operators on a complex Hilbert space H. The (classical) numerical range of T ∈ B(H) is the set W(T) = {〈T x; x〉: x ∈ H; ‖x‖ = 1} Writing T= T_1 + iT_2 for self-adjoint T_1, T_2 ∈ B(H), W(T) can be identified with the set {(〈T_1 x, x〉,〈T_2 x, x〉) : x ∈ H, ‖x‖ = 1}.
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CCT4 promotes tunneling nanotube formation
FEBS Letters, EarlyView.Tunneling nanotubes (TNTs) are membranous tunnel‐like structures that transport molecules and organelles between cells. They vary in thickness, and thick nanotubes often contain microtubules in addition to actin fibers. We found that cells expressing monomeric CCT4 generate many thick TNTs with tubulin.
Miyu Enomoto +3 more
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Additive preservers of numerical range
Linear Algebra and its Applications, 2002 Let \({\mathbf C}\) be the field of complex numbers, \(M_n\) be the set of all \(n\times n\)-matrices, \(T_n\) be the set of all upper triangular \(n\times n\)-matrices with complex coefficients, \(\langle x,y \rangle\) denotes the scalar product of two vectors, \(\|x\|^2=\langle x,x\rangle\). The numerical range of a matrix \(A\in M_n\) is the set \(W(
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Rad27/FEN1 prevents accumulation of Okazaki fragments and ribosomal DNA copy number changes
FEBS Letters, EarlyView.The budding yeast Rad27 is a structure‐specific endonuclease. Here, the authors reveal that Rad27 is crucial for maintaining the stability of the ribosomal RNA gene (rDNA) region. Rad27 deficiency leads to the accumulation of Okazaki fragments and changes in rDNA copy number.
Tsugumi Yamaji +3 more
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