Results 11 to 20 of about 1,191 (241)
Surjectivity in Fréchet Spaces [PDF]
We prove surjectivity result in Fréchet spaces of Nash-Moser type. That is, with uniform estimates over all semimorms. Our method works for functions which are only continuous and Gâteaux differentiable like in the recent result of Ekeland. We present the results in multi-valued setting exploring the relevant notions of map regularity.
Milen Ivanov, Nadia Zlateva
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Injectivity and surjectivity of Collatz functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dan Levy, Levy, Dan
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Boundedness and surjectivity in normed spaces [PDF]
We define the (w* -) boundedness property and the (w* -) surjectivity property for sets in normed spaces. We show that these properties are pairwise equivalent in complete normed spaces by characterizing them in terms of a category-like property called ...
Olav Nygaard
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Post-surjectivity and balancedness of cellular automata over groups [PDF]
We discuss cellular automata over arbitrary finitely generated groups. We call a cellular automaton post-surjective if for any pair of asymptotic configurations, every pre-image of one is asymptotic to a pre-image of the other.
Silvio Capobianco +2 more
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Surjectively rigid chains [PDF]
AbstractWe study rigidity properties of linearly ordered sets (chains) under automorphisms, embeddings, epimorphisms, and endomorphisms. We focus on two main cases: dense subchains of the real numbers, and uncountable dense chains of higher regular cardinalities.
Mayra Montalvo-Ballesteros +1 more
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Multilinear polynomials are surjective on algebras with surjective inner derivations [PDF]
Let $f(X_1,\dots, X_n)$ be a nonzero multilinear noncommutative polynomial. If $A$ is a unital algebra with a surjective inner derivation, then every element in $A$ can be written as $f(a_1,\dots,a_n)$ for some $a_i\in A$.
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Summary: In [Fundam. Math. 151, 47--52 (1996; Zbl 0860.54028)], \textit{M.~Levin} proved that the set of all Bing maps of a compact metric space to the unit interval is a dense \(G_\delta\)-subset of the space of all maps. In [Bull. Pol. Acad. Sci. Math.
Kato, Hisao, Matsuhashi, Eiichi
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Smooth Surjections Without Surjective Restrictions
Let f : E -> F be a surjective mapping between two real or complex Banach spaces, with f having some strong differentiability properties. We investigate when there is a smaller Banach space G subset of E such that the restriction of f to G remains surjective.
Aron, Richard M. +2 more
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Projective surjectivity of quadratic stochastic operators on l1 and its application [PDF]
A nonlinear Markov chain is a discrete time stochastic process whose transitions depend on both the current state and the current distribution of the process.
Khakimov, O. +2 more
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Smooth surjections and surjective restrictions
11 pages, a small mistake in the proof of Theorem 8 has been ...
Aron, Richard M. +3 more
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