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Superposition operators, -universal functions, and the hyperbolic composition operator

Acta Mathematica Hungarica, 2012
We give a description of those functions f in the unit ball Open image in new window of H∞ on the disk \(\mathbb{D}\) whose orbit {f∘ϕn: n∈ℕ} is locally uniformly dense in Open image in new window for some sequence (ϕn) of selfmaps of \(\mathbb{D}\). An interpretation of this result in terms of the superposition (or substitution) operator on the space ...
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Superposition operators between logarithmic Bloch spaces

Rendiconti del Circolo Matematico di Palermo Series 2, 2018
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Malavé-Malavé, Renny J.   +1 more
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The superposition operator in Orlicz spaces

1990
Whenever one has to deal with problems involving rapidly increasing nonlinearities (e.g. of exponential type), Orlicz spaces are more appropriate than Lebesgue spaces. Since Orlicz spaces are ideal spaces, many statements of this section are just reformulations of the general results of Chapter 2, and therefore are cited mostly without proofs. However,
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Modular metric spaces, II: Application to superposition operators

Nonlinear Analysis: Theory, Methods & Applications, 2010
The author presents an exhausting description of Lipschitz continuous and some other classes of nonlinear superposition operators acting in modular metric spaces of functions of a real variable of finite generalized variation in the sense of \textit{M. Schramm} [Trans. Am. Math. Soc.
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Precomplete Classes of Automata with the Superposition Operation

Moscow University Mathematics Bulletin, 2018
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Regularizability of superposition of inverse linear operators

Journal of Soviet Mathematics, 1992
Let \(L_ 0(X,Y)\) be the linear continuous injective operators; \(X,Y\) are Banach spaces. If \(X\) is separable and \(A\in L_ 0(X,Y)\), then the regularizability of \(A^{-1}\) is equivalent to the subspace \(A^*Y^*\subset X^*\) being norming. This article investigates the problem of determining the triples \((X,Y,Z)\) of infinite-dimensional separable
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The superposition operator in ideal spaces

1990
In this chapter we are concerned with the basic properties of the superposition operator in so-called ideal spaces which are, roughly speaking, Banach spaces of measurable functions with monotone norm. To formulate our results in a sufficiently general framework, we must introduce a large number of auxiliary notions which will be justified by the ...
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Superposition framework v1.0. A time-framed operational account of quantum superposition

Version noteThis report extends the Time Frameworks (TF1.0, TF2.0) with an operational account of quantum superposition. Whereas TF1.0/TF2.0 formalize time as sequences of Planck ticks and calibrate particle-as-clock thinking, the present framework applies that timing logic directly to superposition across platforms.
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NONLINEAR SUPERPOSITION OPERATORS

Bulletin of the London Mathematical Society, 1992
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