Results 51 to 60 of about 442,383 (279)
Norm Bounds for Operator Extensions
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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Operator -norms and their use [PDF]
Abstract We consider a family of equivalent norms (called operator -norms) on the algebra
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This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley +1 more source
An embedding norm and the Lindqvist trigonometric functions
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
On power bounded operators with holomorphic eigenvectors, II
In [U] (among other results), M. Uchiyama gave the necessary and sufficient conditions for contractions to be similar to the unilateral shift $S$ of multiplicity $1$ in terms of norm-estimates of complete analytic families of eigenvectors of their ...
Gamal', Maria F.
core +1 more source
Norms and CB norms of Jordan elementary operators
To appear in Bull Sci ...
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Directional operators and mixed norms [PDF]
We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calder'on and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel.
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Time after time – circadian clocks through the lens of oscillator theory
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
Norm Comparison Inequalities for the Composite Operator
We establish norm comparison inequalities with the Lipschitz norm and the BMO norm for the composition of the homotopy operator and the projection operator applied to differential forms satisfying the A-harmonic equation.
Ding Shusen, Xing Yuming
doaj
New norm equalities and inequalities for operator matrices
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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