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In this paper we prove a general version of the extrapolation theorem for absolutely summing nonlinear operators. It is explicitly shown that this result encompasses the previous old and recent, linear and nonlinear extrapolation theorems as par[...]texto impreso
Ciesielski, K.C. ; Natkaniec, T. ; Rodríguez-Vidanes, D.L. ; Seoane-Sepúlveda, Juan B. | Springer | 2021The class D of generalized continuous functions on R known under the common name of Darboux-like functions is usually described as consisting of eight families of maps: Darboux, connectivity, almost continuous, extendable, peripherally continuou[...]texto impreso
Bastin, F. ; Conejero, Jose A. ; Esser, C. ; Seoane-Sepúlveda, Juan B. | Hebrew University Magnes Press | 2015We show that there exist c-generated algebras (and dense in C (a)([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable function. This leads to results of dense algebrability (and, therefore, lineability) of functions enjoyi[...]texto impreso
We show that there exist c-generated algebras (and dense in C ?([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable function. This leads to results of dense algebrability (and, therefore, lineability) of functions enjoying[...]texto impreso
We show that the set L of complex-valued everywhere surjective functions on C is aJgebrable. Specifically, L contains an infinitely generated algebra every non-zero element of which is everywhere surjective. We also give a technique to construct[...]texto impreso
Aron, Richard M. ; Pérez García, David ; Seoane-Sepúlveda, Juan B. | Polish Acad Sciencies Inst Mathematics | 2006We show that, given a set E subset of T of measure zero, the set of continuous functions whose Fourier series expansion is divergent at any point t is an element of E is dense-algebrable, i.e. there exists an infinite-dimensional, infinitely gen[...]texto impreso
Muñoz-Fernández, Gustavo A. ; Sarantopoulos, Yannis ; Seoane-Sepúlveda, Juan B. | Heldermann Verlag | 2008Given a trinomial of the form p(x) = ax(m) + bx(n) + c with a, b, c is an element of R, we obtain, explicitly, the best possible constant M.,,(x) in the inequality vertical bar p'(x)vertical bartexto impreso
Recently, it has been proved that, assuming that there is an almost disjoint family of cardinality 2(c) in c (which is assured, for instance, by either Martin's Axiom, or the Continuum Hypothesis, or even 2(texto impreso
Let X be a sequence space and denote by Z(X) the subset of X formed by sequences having only a finite number of zero coordinates. We study algebraic properties of Z(X) and show (among other results) that (for p is an element of [1, infinity]) Z([...]texto impreso
Bernstein-markov type inequalities and other interesting estimates for polynomials on circle sectors
Jiménez Rodríguez, Pablo ; Muñoz-Fernández, Gustavo A. ; Pellegrine, D. ; Seoane-Sepúlveda, Juan B. | Board | 2017In this paper we study various polynomial inequalities for 2-homogeneous polynomials on the circular sector {rei: r ? [0,1]? [0, 2]}. In particular, we obtain sharp Bernstein and Markov inequalities for such polynomials, we calculate the polariz[...]texto impreso
Gámez Merino, José Luis ; Muñoz-Fernández, Gustavo A. ; Pellegrino, Daniel ; Seoane-Sepúlveda, Juan B. | Elsevier Science | 2012-01In this paper we prove a characterization of continuity for polynomials on a normed space. Namely, we prove that a polynomial is continuous if and only if it maps compact sets into compact sets. We also provide a partial answer to the question a[...]texto impreso
We show that, in certain situations, we have lineability in the set of bounded linear and non-absolutely summing operators. Examples on lineability of the set Pi(p)(E, F) \ I-p(E, F) are also presented and some open questions are proposed.texto impreso
Ciesielski, Krzysztof Chris ; Gámez Merino, José Luis ; Mazza, L. ; Seoane-Sepúlveda, Juan B. | American Mathematical Society | 2017We investigate the additivity A and lineability L cardinal coeffiients for the following classes of functions: ES\SES of everywhere surjective functions that are not strongly everywhere surjective, Darboux-like, Sierpinski-Zygmund, surjective, a[...]texto impreso
We give a sufficient condition for an operator to be chaotic and we use this condition to show that, in the Banach space C-0[0, infinity) the operator (T(lambda,c)f) (t) = lambda f (t + c) (with lambda > 1 and c > 0) is chaotic, with every n i[...]texto impreso
Gámez Merino, José Luis ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Mathematical Assoc Amer | 2011-02It is well known that a function f : R -> R is continuous if and only if the image of every compact set under f is compact and the image of every connected set is connected. We show that there exist two 2(c)-dimensional linear spaces of nowhere[...]
