نتایج جستجو برای: continuous linear map
تعداد نتایج: 896645 فیلتر نتایج به سال:
It is well known that a continuous piecewise monotone interval map with positive topological entropy is semiconjugate to a map of a constant slope and the same entropy, and if it is additionally transitive then this semiconjugacy is actually a conjugacy. We generalize this result to piecewise continuous piecewise monotone interval maps, and as a consequence, get it also for piecewise monotone g...
a 1993 result of j. llibre, and m. misiurewicz, (theorem a [5]), states that if a continuous map f of a graph into itself has an s-horseshoe, then the topological entropy of f is greater than or equal to logs, that is h( f ) ? logs. also a 1980 result of l.s. block, j. guckenheimer, m. misiurewicz and l.s. young (lemma 1.5 [3]) states that if g is an a-graph of f then h(g) ? h( f ). in this pap...
Linear classifiers are much faster to learn and test than non-linear ones. On the other hand, non-linear kernels offer improved performance, albeit at the increased cost of training kernel classifiers. To use non-linear mappings with efficient linear learning algorithms, explicit embeddings that approximate popular kernels have recently been proposed. However, the embedding process is often cos...
Let $A$ be a unital $C^{*}$-algebra which has a faithful state. If $varphi:Arightarrow A$ is a unital linear map which is bijective and invertibility preserving or surjective and spectral radius preserving, then $varphi$ is a Jordan isomorphism. Also, we discuss other types of linear preserver maps on $A$.
Let X ⊂ CP be an irreducible projective variety. Assume that F : X → X is a rational continuous map. Denote by h(F ) the entropy of F . In [Fri] we showed that h(F ) = logρ(F ) if X is smooth. Here ρ(F ) is the spectral radius of the induced linear map on the homology groups of X over the rationals. In the first part of this paper (§1) we show that this result is valid for any irreducible norma...
Abstract We observe that every map between finite-dimensional normed spaces of the same dimension respects fixed semi-inner products must be automatically a linear isometry. Moreover, we construct uniformly smooth renorming Hilbert space $$\ell _2$$ ℓ 2 and continuous i...
So, suppose that i ◦ f : Z → X is continuous. Since for every α, the projection πα : X → Xα is continuous, πα ◦ (i ◦ f) : Z → Xα is continuous. The map πα ◦ (i ◦ f) = iα ◦ (ρα ◦ f). By the universal property of the subspace topology on Yα, the map iα ◦ (ρα ◦ f) being continuous implies ρα ◦ f : Z → Yα is continuous. So, we have a collection of continuous maps: ρα ◦ f : Z → Yα so by the universa...
We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps. We prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous. We also study the relationship between approximately mu...
Using methods from Convex Analysis, for each generalized pressure function we define an upper semi-continuous affine entropy-like map, establish abstract variational principle both countably and finitely additive probability measures prove that equilibrium states always exist. We show this conceptual approach imparts a new insight on dynamical systems without measure with maximal entropy, may b...
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