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Title: Hypercyclic operators and related topics
Author: Penilla, Manuel De la Rosa Penilla
ISNI:       0000 0001 3535 1191
Awarding Body: Leeds
Current Institution: University of Leeds
Date of Award: 2008
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Hypercyclicity, strictly speaking, dates back to 1929 when the first example in the literature appeared. However it was not until the mid-80's, with the discovery of the Hypercyclicity Criterion, that this theory started its evolution. This criterion embraces the conditions that assure a continuous linear operator to be hypercyclic. A considerable number of hypercyclic operators satisfy these conditions. Indeed, every single example known until 2007 satisfied such criterion. It was natural to posed the question if all the hypercyclicity operators must satisfy the Hypercyclicity Criterion, such a question is known as the Great Open Problem in the theory of hypercyclicity.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available