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1. Cyclicity of the adjoint of weighted composition operators on the Hilbert space of analytic functions

Creator:
Kamali, Zahra, Robati, Bahram Khani, and Hedayatian, Karim
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
hypercyclicity, supercyclicity, cyclicity, and weighted composition operators
Language:
English
Description:
In this paper, we discuss the hypercyclicity, supercyclicity and cyclicity of the adjoint of a weighted composition operator on a Hilbert space of analytic functions.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Non supercyclic subsets of linear isometries on Banach spaces of analytic functions

Creator:
Moradi, Abbas, Hedayatian, Karim, Robati, Bahram Khani, and Ansari, Mohammad
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, supercyclicity, hypercyclic operator, semigroup, isometry, 13, and 51
Language:
English
Description:
Let X be a Banach space of analytic functions on the open unit disk and Γ a subset of linear isometries on X. Sufficient conditions are given for non-supercyclicity of Γ. In particular, we show that the semigroup of linear isometries on the spaces S^{p} (p>1), the little Bloch space, and the group of surjective linear isometries on the big Bloch space are not supercyclic. Also, we observe that the groups of all surjective linear isometries on the Hardy space H^{p} or the Bergman space L_{a}^{p} (1< p< ∞,p\neq 2) are not supercyclic., Abbas Moradi, Karim Hedayatian, Bahram Khani Robati, Mohammad Ansari., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public