Zobrazeno 1 - 10
of 166
pro vyhledávání: '"Gallardo Gutiérrez, Eva A."'
Let $\mathbb H$ be the finite direct sums of $H^2(\mathbb D)$. In this paper, we give a characterization of the closed subspaces of $\mathbb H$ which are invariant under the shift, thus obtaining a concrete Beurling-type theorem for the finite index
Externí odkaz:
http://arxiv.org/abs/2411.01933
We address the existence of non-trivial closed invariant subspaces of operators $T$ on Banach spaces whenever their square $T^2$ have or, more generally, whether there exists a polynomial $p$ with $\mbox{deg}(p)\geq 2$ such that the lattice of invari
Externí odkaz:
http://arxiv.org/abs/2409.01167
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
The Dunford property $(C)$ for composition operators on $H^p$-spaces ($1
Externí odkaz:
http://arxiv.org/abs/2404.01939
Finite rank perturbations of diagonalizable normal operators acting boundedly on infinite dimensional, separable, complex Hilbert spaces are considered from the standpoint of view of the existence of invariant subspaces. In particular, if $T=D_\Lambd
Externí odkaz:
http://arxiv.org/abs/2401.17060
We provide a complete characterization of those non-elliptic semigroups of holomorphic self-maps of the unit disc for which the linear span of eigenvectors of the generator of the corresponding semigroup of composition operators is weak-star dense in
Externí odkaz:
http://arxiv.org/abs/2311.17470
This paper explores various classes of invariant subspaces of the classical Ces\`{a}ro operator $C$ on the Hardy space $H^2$. We provide a new characterization of the finite co-dimensional $C$-invariant subspaces, based on earlier work of the first t
Externí odkaz:
http://arxiv.org/abs/2307.06923
A closed subspace is invariant under the Ces\`aro operator $\mathcal{C}$ on the classical Hardy space $H^2(\mathbb D)$ if and only if its orthogonal complement is invariant under the $C_0$-semigroup of composition operators induced by the affine maps
Externí odkaz:
http://arxiv.org/abs/2206.11882
Autor:
Gallardo-Gutiérrez, Eva, Seco, Daniel
We study zero-free regions of the Riemann zeta function $\zeta$ related to an approximation problem in the weighted Dirichlet space $D_{-2}$ which is known to be equivalent to the Riemann Hypothesis since the work of B\'aez-Duarte. We prove, indeed,
Externí odkaz:
http://arxiv.org/abs/2206.02654
We prove that in a large class of Banach spaces of analytic functions in the unit disc $\mathbb{D}$ an (unbounded) operator $Af=G\cdot f'+g\cdot f$ with $G,\, g$ analytic in $\mathbb{D}$ generates a $C_0$-semigroup of weighted composition operators i
Externí odkaz:
http://arxiv.org/abs/2110.05247