4 papers
Random matrices and controllability of dynamical systems
John Leventides, Nick Poulios, Costas Poulios
We introduce the concept of -uncontrollability for random linear systems, i.e. linear system in which the usual matrices have been replaced by random matrices. We also estimate…
Koopman operators and the -dynamical system
John Leventides, Costas Poulios
The -problem (or Collatz problem) is a notorious conjecture in arithmetic. It can be viewed as iterating a map and, therefore, it is a dynamical system on the discrete space…
The fixed point property in a Banach space isomorphic to
Costas Poulios
We consider a Banach space, which comes naturally from c0 and it appears in the literature, and we prove that this space has the fixed point property for non-expansive mappings.
Non-separable tree-like Banach spaces and Rosenthal's -theorem
Costas Poulios
We introduce and investigate a class of non-separable tree-like Banach spaces. As a consequence, we prove that we can not achieve a satisfactory extension of Rosenthal's -t…