Weak* Hypercyclicity and Supercyclicity of Shifts on ℓ∞

Juan Bès, Kit C. Chan, Rebecca Sanders

Type: Article

Publication Date: 2005-12-20

Citations: 9

DOI: https://doi.org/10.1007/s00020-005-1394-0

View Publication

Locations

Integral Equations and Operator Theory - View

Similar Works

Action	Title	Year	Authors
+	Weighted shifts and disjoint hypercyclicity	2014	Juan Bès Özgür Martin Rebecca Sanders
+	Hypercyclic and supercyclic operators	2009	Frédéric Bayart Étienne Matheron
+	Hypercyclicity and unimodular point spectrum	2005	Frédéric Bayart Sophie Grivaux
+	Disjoint Hypercyclic and Supercyclic Composition Operators	2010	Özgür Martin
+	Remarks on finitely hypercyclic and finitely supercyclic operators	1997	V. G. Miller
+	A note on hypercyclicity sets	2014	Tae Ryong Park Eunsang Kim
+	Rotations of Hypercyclic and Supercyclic Operators	2004	Fernando León-Saavedra Vladimír Müller
+	Hypercyclicity, supercyclicity and generalized rakočević's property	2017	Mohamed Amouch Youness FAOUZI
+	Residuality of Sets of Hypercyclic Operators	2011	Alejandro Rodríguez-Martínez
+	Compositional disjoint hypercyclicity equals disjoint supercyclicity	2012	Juan Bès Özgür Martin
+	a-Weyl’s theorem and hypercyclicity	2024	Ying Liu Xiaohong Cao
+	Hypercyclicity and supercyclicity of unbounded operators	2022	Abhay Kumar
+	Weyl's theorem and hypercyclic/supercyclic operators	2007	B. P. Duggal
+	Multi-hypercyclic operators are hypercyclic	2001	Alfredo Peris
+	On the supercyclicity and hypercyclicity of the operator algebra	2008	B. Yousefi Hamid Rezaei
+	Supercyclic and hypercyclic non-convolution operators	2006	Henrik Petersson
+	A note on the hypercyclicity of operator-weighted shifts	2018	Ya Wang Ze‐Hua Zhou
+ PDF Chat	On the Salas Theorem and Hypercyclicity of f(T)	2010	Veronika Müller
+	The Testing Ground of Weighted Shift Operators for Hypercyclicity	2021	Kit C. Chan
+	Cyclicity of bicyclic operators and completeness of translates	2007	Evgeny Abakumov Aharon Atzmon Sophie Grivaux

Works That Cite This (9)

Action	Title	Year	Authors
+	The narrow recurrence of Markov Chains	2023	Ahmed Zaou Mohamed Amouch
+	Weakly Recurrent Operators	2023	Mohamed Amouch Ahmed Bachir Otmane Benchiheb Salah Mecheri
+ PDF Chat	The Backward Shift and Two Infinite-Dimension Phenomena in Banach Spaces	2023	Zoriana Novosad Andriy Zagorodnyuk
+ PDF Chat	J-Class Weighted Shifts on the Space of Bounded Sequences of Complex Numbers	2008	George Costakis Antonios Manoussos
+	Supercyclicity in Spaces of Operators	2015	Manjul Gupta Aneesh Mundayadan
+	J-class weighted shifts on the space of bounded sequences of complex numbers	2007	George Costakis Antonios Manoussos
+	q-Frequently hypercyclic operators	2014	Manjul Gupta Aneesh Mundayadan
+	Weak Supercyclicity—An Expository Survey	2024	Carlos S. Kubrusly
+	The Testing Ground of Weighted Shift Operators for Hypercyclicity	2021	Kit C. Chan

Works Cited by This (10)

Action	Title	Year	Authors
+	An Introduction to Banach Space Theory	1998	Robert E. Megginson
+	Hypercyclic operators on non-locally convex spaces	2003	Jochen Wengenroth
+	Limits of hypercyclic and supercyclic operators	1991	Domingo A. Herrero
+ PDF Chat	Hypercyclic weighted shifts	1995	Héctor N. Salas
+	Linear Structure of Hypercyclic Vectors	1997	Fernando León-Saavedra Alfonso Montes-Rodrı́guez
+ PDF Chat	Universal vectors for operators on spaces of holomorphic functions	1987	Robert M. Gethner Joel H. Shapiro
+	Hereditarily Hypercyclic Operators	1999	Juan Bès Alfredo Peris
+ PDF Chat	Invariant manifolds of hypercyclic vectors	1993	Paul Bourdon
+	An Isometric Bilateral Shift that is Weakly Supercyclic	2005	Rebecca Sanders
+	A WEAKLY HYPERCYCLIC OPERATOR THAT IS NOT NORM HYPERCYCLIC	2004	Kit C. Chan Rebecca Sanders