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Generalized Ces\`aro operators $C_t$, for $t\in [0,1)$, are investigated when they act on the disc algebra $A(\mathbb{D})$ and on the Hardy spaces $H^p$, for $1\leq p \leq \infty$. We study the continuity, compactness, spectrum and point spectrum of
Externí odkaz:
http://arxiv.org/abs/2410.08056
Autor:
Bonet, José
Continuity, compactness, the spectrum and ergodic properties of Ces\`aro operators are investigated when they act on the space $VH(\mathbb{D})$ of analytic functions with logarithmic growth on the open unit disc $\mathbb{D}$ of the complex plane. The
Externí odkaz:
http://arxiv.org/abs/2409.11371
En la presente monografía se defiende que la previsión social complementaria puede jugar un papel alternativo de protección en las cooperativas, coadyuvando así al Sistema de Seguridad Social, en la función de garantizar unas prestaciones sufici
Rhaly operators, as generalizations of the Ces\`aro operator, are studied from the standpoint of view of spectral theory and invariant subspaces, extending previous results by Rhaly and Leibowitz to a framework where generalized Ces\`aro operators ar
Externí odkaz:
http://arxiv.org/abs/2408.03182
Autor:
Appleby, John A. D., Lawless, Emmet
In this article we discuss the requirements needed in order to characterise the solution space of perturbed linear integro-differential Volterra convolution equations. We highlight in general how the pointwise behaviour of perturbation functions does
Externí odkaz:
http://arxiv.org/abs/2407.08416
We study the asymptotic behaviour of orbits $(T^nx)_{n\ge0}$ of the classical Ces\`aro operator $T$ for sequences $x$ in the Banach space $c$ of convergent sequences. We give new non-probabilistic proofs, based on the Katznelson-Tzafriri theorem and
Externí odkaz:
http://arxiv.org/abs/2404.17289
We discuss the Ces`aro operator on the Hardy space in the upper half-plane. We provide a new simple proof of the boundedness of this operator, prove that this operator is equal to the sum of the identity operator and a unitary operator, which implies
Externí odkaz:
http://arxiv.org/abs/2405.19627
Autor:
Gastaka Eguskiza, Ignazio1 ignacio.gastaca@ehu.eus
Publikováno v:
Zer: Journal of Communication Studies / Revista de Estudios de Comunicacion / Komunikazio Ikasketen Aldizkaria. nov/dec2023, Vol. 28 Issue 55, p285-304. 20p.
Autor:
Barroso, C. S.
Let $K$ be a nonempty subset of a Banach space $X$. A mapping $T\colon K\to K$ is called $\mathfrak{cm}$-nonexpansive if for any sequence $(u_i)_{i=1}^\infty$ and $y$ in $K$, $\limsup_{i\to\infty} \sup_{A\subset\{1,\dots, n\}}\|\sum_{k\in A} \big(T u
Externí odkaz:
http://arxiv.org/abs/2403.18113
Publikováno v:
Filomat 33:10 (2019), 3013-3022
In this paper we will characterize the completeness and barrelledness of a normed space through the strong p-Ces\`aro summability of series. A new characterization of weakly unconditionally Cauchy series and unconditionally convergent series through
Externí odkaz:
http://arxiv.org/abs/2402.06324