Title of article
Bihypercyclic bilinear mappings
Author/Authors
Grosse-Erdmann، نويسنده , , Karl-G. and Kim، نويسنده , , Sung Guen، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
8
From page
701
To page
708
Abstract
We propose a notion of orbit for bilinear mappings on Banach spaces. This then leads us to the concept of bihypercyclic bilinear mappings, that is, of bilinear mappings with a dense orbit. We provide some examples of such mappings, and we obtain some basic properties of bihypercyclicity. In our main result we show that every separable (real or complex) Banach space supports a bihypercyclic bilinear mapping. We also formulate some open problems.
Keywords
Bilinear mappings , Dense orbits , Bihypercyclic bilinear mappings
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563343
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