Results 51 to 60 of about 773,316 (284)
Operator Norms of Powers of the Volterra Operator
Journal of Integral Equations and Applications, 1999 Let \(V: L^2[0,1]\to L^2[0, 1]\) be the Volterra operator defined by \(Vf(x)= \int^x_0 f(t) dt\). In the paper is proved that \(\lim_{m\to\infty} \|m!V^m\|={1\over 2}\). To obtain this, some more general results for the operator \(A: L^2[0,1]\to L^2[0,1]\) defined by \(Af(x)= \int^x_0 a(x- t) f(t) dt\), wehre \(a\) is a nonnegative, nondecreasing \(L^2\
openaire +2 more sources
An embedding norm and the Lindqvist trigonometric functions
Electronic Journal of Differential Equations, 2002 We shall calculate the operator norm $|T|_p$ of the Hardy operator $Tf = int_0^x f $, where $1le ple infty$. This operator is related to the Sobolev embedding operator from $W^{1,p}(0,1)/mathbb{C}$ into $W^p(0,1)/mathbb{C}$.
Christer Bennewitz, Yoshimi Saito
doaj
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
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, 2013 The main results of this paper show that various coarse (‘large scale’) geometric properties are closely related. In particular, we show that prop- erty A implies the operator norm localisation property, and thus that norms of operators associated to a ...
Wright, Nick +4 more
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Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics
FEBS Letters, EarlyView.Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt +8 more
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Norm Bounds for Operator Extensions
Journal of Mathematical Analysis and Applications, 1995 Consider the partial \(n\times n\) matrix \(F\) with bounded Hilbert space operator entries, where the lower triangular entries are specified and the strictly upper triangular entries are to be determined. Any choice of the strictly upper triangular entries provides a completion or extension of \(F\).
Bakonyi, M. +3 more
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Discrete Dynamics in Nature and Society, 2008 We introduce an integral-type operator, denoted by Pφg, on the space of holomorphic functions on the unit ball B⊂ℂn, which is an extension of the product of composition and integral operators on the unit disk.
Stevo Stević
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New norm equalities and inequalities for operator matrices
Journal of Inequalities and Applications, 2016 We prove new inequalities for general 2 × 2 $2\times2$ operator matrices. These inequalities, which are based on classical convexity inequalities, generalize earlier inequalities for sums of operators. Some other related results are also presented. Also,
Feras Ali Bani-Ahmad, Watheq Bani-Domi
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Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network
FEBS Letters, EarlyView.Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
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Journal of Applied Science and Engineering, 2022 Although the systematic emergence of the fuzzy functional analysis theory has started in the last few years, we are starting to construct a new theory of fuzzy operator ideals inspired by the classical (crisp) operator ideals theory.
Laith K. Shaakir +2 more
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