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HYPERCYCLIC OPERATOR WEIGHTED SHIFTS
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 Title & Authors
HYPERCYCLIC OPERATOR WEIGHTED SHIFTS
Hazarika, Munmun; Arora, S.C.;
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 Abstract
We consider bilateral operator weighted shift T on (K) with weight sequence of positive invertible diagonal operators on K. We give a characterization for T to be hypercyclic, and show that the conditions are far simplified in case T is invertible.
 Keywords
operator weighted shift;hypercyclic operator;
 Language
English
 Cited by
1.
HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTS,;;

대한수학회지, 2014. vol.51. 2, pp.363-382 crossref(new window)
1.
HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTS, Journal of the Korean Mathematical Society, 2014, 51, 2, 363  crossref(new windwow)
 References
1.
P. S. Bourdon and J. H. Shapiro, Cyclic phenomena for composition operators, Mem. Amer. Math. Soc. 125 (1997)

2.
N. S. Feldman,Hypercyclicity and supercyclicity for invertible bilateral weighted shifts,Proc. Amer. Math. Soc. 131 (2003), 479–485

3.
R. M. Gethner and J. H. Shapiro,Universal vectors for operators on spaces of holomorphic functions, Proc. Amer. Math. Soc. 100 (1987), 281–288

4.
D. A. Herrero,Hypercyclic operators and chaos, J. Operator Theory 28 (1992), 93–103

5.
C. Kitai, Invariant closed sets for linear operators, Dissertation, University of Toronto (1982)

6.
S. Rolewicz, On orbits of elements,Studia Math. 32 (1969), 17–22

7.
H. N. Salas, Hypercyclic weighted shifts, Trans. Amer. Math. Soc. 347 (1995), 993–1004