Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Darji, Udayan"'
Autor:
Carvalho, Bernardo, Darji, Udayan
We discuss whether classical examples of dynamical systems satisfying the shadowing property also satisfy the shadowing property for the induced map on the hyperspace of continua, obtaining both positive and negative results. We prove that transitive
Externí odkaz:
http://arxiv.org/abs/2408.12688
We introduce a class of linear bounded invertible operators on Banach spaces, called shift operators, which comprises weighted backward shifts and models finite products of weighted backward shifts and dissipative composition operators. We classify v
Externí odkaz:
http://arxiv.org/abs/2407.20890
Autor:
Bernardes Jr., Nilson C., Caraballo, Blas M., Darji, Udayan B., Fávaro, Vinícius V., Peris, Alfred
Publikováno v:
J. Funct. Anal. 288 (2025), no. 2, Paper No. 110696, 51 pp
We introduce and study the notions of (generalized) hyperbolicity, topological stability and (uniform) topological expansivity for operators on locally convex spaces. We prove that every generalized hyperbolic operator on a locally convex space has t
Externí odkaz:
http://arxiv.org/abs/2403.02843
We prove that the universal solenoid is the generic (in the sense of Baire category) connected compact metrizable abelian group. We also settle the dual problem in the sense of Pontryagin duality: $(\mathbb{Q},+)$, which is the dual of the universal
Externí odkaz:
http://arxiv.org/abs/2306.05214
Autor:
Bernardes, Nilson C., Jr., Caraballo, Blas M., Darji, Udayan B., Fávaro, Vinícius V., Peris, Alfred
Publikováno v:
In Journal of Functional Analysis 15 January 2025 288(2)
In this article we develop a general technique which takes a known characterization of a property for weighted backward shifts and lifts it up to a characterization of that property for a large class of operators on $L^p(X)$. We call these operators
Externí odkaz:
http://arxiv.org/abs/2107.12103
Autor:
Darji, Udayan B., García-Ramos, Felipe
$\Pi_1^1$-ranks are a natural tool for studying coanalytic sets in descriptive set theory. In the book "Classical descriptive set theory", Kechris provided a technique to build $\Pi_1^1$-ranks using derivatives. In this note we will prove a variant o
Externí odkaz:
http://arxiv.org/abs/2107.09866
Autor:
Darji, Udayan B., García-Ramos, Felipe
We investigate local entropy theory, particularly the property of having completely positive entropy (CPE), from a descriptive set-theoretic point of view. We aim to determine descriptive complexity of different families of dynamical systems with CPE
Externí odkaz:
http://arxiv.org/abs/2107.09263
Autor:
Darji, Udayan B., Pires, Benito
The notions of chaos and frequent hypercyclicity enjoy an intimate relationship in linear dynamics. Indeed, after a series of partial results, it was shown by Bayart and Rusza in 2015 that for backward weighted shifts on $\ell_p(\mathbb{Z})$, the not
Externí odkaz:
http://arxiv.org/abs/2009.13713
Publikováno v:
Journal of Differential Equations 2021
It is rather well-known that hyperbolic operators have the shadowing property. In the setting of finite dimensional Banach spaces, having the shadowing property is equivalent to being hyperbolic. In 2018, Bernardes et al. constructed an operator with
Externí odkaz:
http://arxiv.org/abs/2009.11526