Results 1 to 10 of about 115,536 (214)
On the Spectrum of Hilbert Matrix Operator [PDF]
Integral Equations and Operator Theory, 2021 AbstractThe Hilbert matrix $$\begin{aligned} {\mathcal {H}}_\lambda =\left( \frac{1}{n+m+\lambda }\right) _{n,m=0}^{\infty }, \quad \lambda \ne 0,-1,-2, \ldots \, \end{aligned}$$ H
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DIRAC OPERATOR IN MATRIX GEOMETRY [PDF]
International Journal of Geometric Methods in Modern Physics, 2005 We review the construction of the Dirac operator and its properties in Riemannian geometry, and show how the asymptotic expansion of the trace of the heat kernel determines the spectral invariants of the Dirac operator and its index. We also point out that the Einstein–Hilbert functional can be obtained as a linear combination of the first two ...
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Matrix Operators and Hyperinvariant Subspaces [PDF]
Journal of the London Mathematical Society, 1987 Let X be a complex Banach space, and let \({\mathcal L}(X)\) be the algebra of all bounded linear operators on X. For each \(S\in {\mathcal L}(X)\), let \(\sigma\) (S) be its spectrum. Let \(X^ n\) denote the direct sum of n copies of X. The authors consider classes of operators in \({\mathcal L}(X^ n)\) with the property that the operators \(T_{jk ...
RADULESCU, FLORIN, Vasilescu, F. H.
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MOM: Matrix Operations in MLIR
CoRR, 2022 Modern research in code generators for dense linear algebra computations has shown the ability to produce optimized code with a performance which compares and often exceeds the one of state-of-the-art implementations by domain experts. However, the underlying infrastructure is often developed in isolation making the interconnection of logically ...
Lorenzo Chelini +5 more
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Adams operations on matrix factorizations [PDF]
Algebra & Number Theory, 2017 We define Adams operations on matrix factorizations, and we show these operations enjoy analogues of several key properties of the Adams operations on perfect complexes with support developed by Gillet-Soulé in their paper "Intersection Theory Using Adams Operations".
Brown, Michael +3 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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Universal -matrix as integral operator [PDF]
Nuclear Physics B, 2001 We derive the integral operator form for the general rational solution of the Yang-Baxter equation with $s\ell(2|1)$ symmetry. Considering the defining relations for the kernel of the R-operator as a system of second order differential equations we observe remarkable reduction to a system of simple first order equations.
Derkachov, S. +2 more
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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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Hierarchical Matrix Operations on GPUs [PDF]
ACM Transactions on Mathematical Software, 2019 Hierarchical matrices are space- and time-efficient representations of dense matrices that exploit the low-rank structure of matrix blocks at different levels of granularity. The hierarchically low-rank block partitioning produces representations that can be stored and operated on in near-linear complexity instead of the usual polynomial complexity of ...
Wajih Halim Boukaram +2 more
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FEBS Letters, EarlyView.This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
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