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Hypercyclic and chaotic weighted shifts

100%

Grosse-Erdmann K.-G.

Studia Mathematica

2000

tom 139

nr 1

47-68

Extending previous results of H. Salas we obtain a characterisation of hypercyclic weighted shifts on an arbitrary F-sequence space in which the canonical unit vectors $(e_n)$ form a Schauder basis. If the basis is unconditional we give a characterisation of those hypercyclic weighted shifts that are even chaotic.

Bolzano’s intermediate-value theorem for quasi-holomorphic maps

84%

Bayoumi A.

Open Mathematics

2005

tom 3

nr 1

76-82

We extend Bolzano’s intermediate-value theorem to quasi-holomorphic maps of the space of continuous linear functionals from l p into the scalar field, (0< p<1). This space is isomorphic to l ∞.

Ograniczanie wyników

1 Open Mathematics

1 Studia Mathematica

1 Bayoumi A.

1 Grosse-Erdmann K.-G.

1 2005

1 2000

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Hypercyclic and chaotic weighted shifts

Bolzano’s intermediate-value theorem for quasi-holomorphic maps