Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2024-03)
[EN] An investigation is made of the generalized Cesaro operators Ct\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} ...
Corredor Blanco, Beatriz(Universitat Politècnica de València, 2014-06-09)
[ES] La gran complejidad sonora del piano reside en la gran cantidad de componentes acústicos
que afectan a la propagación del sonido dentro del instrumento y su posterior radiación. La
manera en que el pianista ataca ...
García-Pacheco, Francisco Javier; Miralles, Alejandro; Murillo Arcila, Marina(Springer-Verlag, 2022-01)
[EN] Every element in the boundary of the group of invertibles of a Banach algebra is a topological zero divisor. We extend this result to the scope of topological rings. In particular, we define a new class of semi-normed ...
This paper examines matrices A is an element of C-nxn such that RA = A(s+1) R where R-k = I, the identity matrix, and where sand k are nonnegative integers with k >= 2. Spectral theory is used to characterize these matrices. ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2016)
[EN] A detailed investigation is made of the continuity, the compactness and the spectrum of the Cesàro operator C acting on the weighted Banach sequence space c0(w) for a bounded, strictly positive weight w. New features ...
[EN] We investigate partial orders on the set of complex square matrices and introduce a new order relation based on spectrally orthogonal matrix decompositions. We also establish the relation of this concept with the known ...
[EN] Let A and B be two generalized quadratic matrices with respect to idempotent matrices P and
Q, respectively, such that (A − αP)(A − βP) = 0, AP = PA = A, (B − γ Q)(B − δQ) = 0, BQ =
QB = B, PQ = QP, AB = BA, and (A ...
[EN] In this note we study the spectrum and the Waelbroeck spectrum of the derivative operator composed with isomorphic multiplication operators defined in the space of smooth functions in [0, 1] which are flat at 0.
Bonet Solves, José Antonio; Ricker, Werner J.(Adam Mickiewicz University, 2021-03)
[EN] The dual spaces d(p), 1 < p < infinity, of the discrete Cesaro (Banach) spaces ces(q), 1 < q < infinity, were studied by G. Bennett, A. Jagers and others. These (reflexive) dual Banach spaces induce the non-normable ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2019-04)
[EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate ...
Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2020-07)
[EN] The discrete Cesàro operator C acts continuously in various classical Banach sequence spaces within CN. For the coordinatewise order, many such sequence spaces X are also complex Banach lattices [eg. c0,¿p for 1<p¿¿, ...
Fuente Herraiz, David; Lazar, Dusan; Oliver Villanueva, José Vicente; Urchueguía Schölzel, Javier Fermín(Springer-Verlag, 2021-01)
[EN] In this work, we reconstructed the absorption spectrum of different Synechocystis sp. PCC 6803 optical strains by summing the computed signature of all pigments present in this organism. To do so, modifications to in ...
[EN] In this paper, we introduce inductive limits of the Fr & eacute;chet spaces l (p+), ces(p+),andd(p+)(1 <= p<infinity) and projective limits of the (LB)-spaces l(p-), ces(p-),andd(p-)(1<p <=infinity). After having ...
Catral, M.; Lebtahi, L.; Stuart, J.; Thome, Néstor(Elsevier, 2020-08-01)
[EN] The {R, s +1, k}- and {R, s +1, k, *}-potent matrices have been studied in several recent papers. We continue these investigations from a spectral point of view. Specifically, a spectral study of {R, s + 1, k} -potent ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Cambridge University Press, 2015)
[EN] An investigation is made of the continuity, the compactness and the spectrum of the Ces`aro operator C
when acting on the weighted Banach sequence spaces l_p(w), 1 < p < 1, for a positive decreasing weight
w, thereby ...
Fernández, Carmen; Galbis, Antonio; Jorda Mora, Enrique(Elsevier, 2020-05-13)
[EN] We study the spectrum of operators in the Schwartz space of rapidly decreasing functions which associate each function with its composition with a polynomial. In the case where this operator is mean ergodic we prove ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, W.(Theta Foundation, 2018)
[EN] A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Cesaro operator C when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2018)
[EN] The spectrum of the CesA ro operator , which is always continuous (but never compact) when acting on the classical Korenblum space and other related weighted Fr,chet or (LB) spaces of analytic functions on the open ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Institute of Mathematics, Polish Academy of Sciences, 2018)
[EN] The discrete Cesaro operator C is investigated in the class of power series spaces Lambda(0) (alpha) of finite type. Of main interest is its spectrum, which is distinctly different in the cases when Lambda(0) (alpha) ...
[EN] Unlike for l(p), 1 < p <= infinity, the discrete Cesaro operator C does not map l(1) into itself. We identify precisely those weights w such that C does map l(1)(w) continuously into itself. For these weights a complete ...