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Kolmogorov Capacity with Overlap. [PDF]

open access: yesEntropy (Basel)
Rangi A, Franceschetti M.
europepmc   +1 more source

On a Perturbation Theorem of Kaiser and Weis

open access: yesSemigroup Forum, 2005
The author answers a question of \textit{C.~Kaiser} and \textit{L.~Weis} [Semigroup Forum 67, No.~1, 63--75 (2003; Zbl 1046.47037)] concerning the strong continuity at \(t = 0\) of a semigroup generated by \(A+B\) on a Hilbert space \(X\), where \(A\) is the generator of a \(C_0\)-semigroup and \(B\) is some closed \(A\)-relatively bounded perturbation.
Charles J K Batty
exaly   +4 more sources
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A perturbation theorem

Acta Mathematica Hungarica, 1973
exaly   +2 more sources

EXTENDED WEYL TYPE THEOREMS AND PERTURBATIONS

Mathematical Proceedings of the Royal Irish Academy, 2010
Summary: In [\textit{M. Berkani} and \textit{H. Zariouh}, Math. Bohem. 134, No. 4, 369--378 (2009; Zbl 1211.47011)], we introduced the properties \((b)\) and \((gb)\), which are analogous of Browder and generalised Browder theorems. In this paper, we study the stability of properties \((b)\) and \((gb)\) under commutative perturbations by finite rank ...
Berkani, M., Zariouh, H.
openaire   +1 more source

Some theorems on perturbation theory. Ill

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1950
Abstract The behaviour of the spectrum of the differential equation d2ɸ/dx2 + {λ - q(x) - ϵσ(x)} ɸ = 0 is considered in the case where the unperturbed spectrum is discrete and the perturbed spectrum is continuous. An example is given to show what meaning can be attached to the classical perturbation formula in this case.
openaire   +2 more sources

Theoremes ergodiques perturbes

Israel Journal of Mathematics, 1997
We obtain results on almost sure convergence of ergodic averages along arithmetic subsequences perturbed by independent identically distributed random variables having apth finite moment for somep>0. To prove these results, we use methods based on the harmonic analysis and the theory of Gaussian processes.
openaire   +1 more source

Weyl’s Theorem and Perturbations

Integral Equations and Operator Theory, 2005
In the present paper we examine the stability of Weyl’s theorem under perturbations. We show that if T is an isoloid operator on a Banach space, that satisfies Weyl’s theorem, and F is a bounded operator that commutes with T and for which there exists a positive integer n such that F n is ...
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Perturbations theorems for periodic surfaces II

Rendiconti del Circolo Matematico di Palermo, 1961
This paper is a continuation of Article which appeared in the previous issue of this journal. We present here the proofs of the main theorems stated in part I.
openaire   +2 more sources

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