[EN] The Bohr–Bohnenblust–Hille theorem states that the width of the strip in the complex plane on which an
ordinary Dirichlet series P
n
ann
−s
converges uniformly but not absolutely is less than or equal to 1
2
, ...
Defant, Andreas; García, Domingo; Maestre, Manuel; Sevilla Peris, Pablo(Adam Mickiewicz University The Faculty of Mathematics and Computer Science, 2011)
[EN] Each Dirichlet series D=∑∞n=1an1nsD=∑n=1∞an1ns, with variable s∈Cs∈C and coefficients an∈Can∈C, has a so called Bohr strip, the largest strip in CC on which DD converges absolutely but not uniformly. The classical ...
[EN] Recent results on Dirichlet series Sigma(n) a(n) 1/n(s), s is an element of C, with coefficients a(n) in an infinite dimensional Banach space X show that the maximal width of uniform but not absolute convergence ...
De la Rosa Penilla, Manuel; Frerick, Leonhard; Grivaux, Sophie; Peris Manguillot, Alfredo(Springer Verlag (Germany), 2012-08)
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. This result is extended to ...
Wardowski (2012) introduced a new type of contractive mapping and proved a fixed point result in complete metric spaces as a generalization of Banach contraction principle. In this paper, we introduce a notion of generalized ...
[EN] It is a classical fact, due to Day, that every separable Banach space admits an equivalent Gateaux smooth renorming. In fact, it admits an equivalent uniformly Gateaux smooth norm, as was shown later by Day, James, ...
For two complex Banach spaces X and Y, in this paper, we study the generalized spectrum M-b(X,Y) of all nonzero algebra homomorphisms from H-b(X), the algebra of all bounded type entire functions on X into H-b(Y). We endow ...
Albanese, Angela Anna; Bonet Solves, José Antonio; Ricker, Werner Joseph(Springer Verlag (Germany), 2012-09)
We present criteria for determining mean ergodicity of C 0-semigroups of linear operators in a sequentially complete, locally convex Hausdorff space X. A characterization of reflexivity of certain spaces X with a basis via ...
Ferrer, Jesús; Kakol, Jerzy; López Pellicer, Manuel; Wójtowicz, Marek(Adam Mickiewicz University The Faculty of Mathematics and Computer Science, 2011)
[EN] Corson's example shows that there exists a Banach space EE which is not weakly normal but EE contains a closed subspace isomorphic to the Banach space C[0,1]C[0,1] and such that the quotient space E/C[0,1]E/C[0,1] is ...
Guirao Sánchez, Antonio José(Institute of Mathematics, Polish Academy of Sciences, 2008)
[EN] We introdu
e the notions of pointwise modulus of squareness and lo
al
modulus of squareness of a normed spa
e X . This answers a question of C. Benítez,
K. Przesªawski and D. Yost about the de nition of a sensible ...
[EN] The aim of this work is to review the main results about power bounded and (uniformly) mean ergodic operators on Banach spaces, including the theorems of Yosida and of Lin. These theorems are applied to the study of ...
[EN] We introduce non-linear versions of the classical cotype of Banach spaces. We show that spaces with l.u.st. and cotype, and spaces having Fourier cotype enjoy our non-linear cotype. We apply these concepts to get ...
Jorda Mora, Enrique; Zarco García, Ana María(Springer Verlag, 2014-09)
We study Banach spaces of harmonic functions on open sets of or endowed with weighted supremum norms. We investigate the harmonic associated weight defined naturally as the analogue of the holomorphic associated weight ...