Tensor products of recurrent hypercyclic semigroups
Andreas Weber
TL;DR
This paper investigates the behavior of tensor products of certain strongly continuous semigroups on Banach spaces, focusing on properties like hypercyclicity, recurrent hypercyclicity, and chaos, to understand their dynamics.
Contribution
It provides new insights into how tensor products preserve or affect hypercyclicity, recurrent hypercyclicity, and chaos in semigroups on Banach spaces.
Findings
Tensor products of hypercyclic semigroups retain hypercyclicity under certain conditions.
Recurrent hypercyclicity is preserved in tensor products of specific semigroups.
Chaotic properties are analyzed in the context of tensor products of semigroups.
Abstract
We study tensor products of strongly continuous semigroups on Banach spaces that satisfy the hypercyclicity criterion, the recurrent hypercyclicity criterion or are chaotic.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Topics in Algebra