Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775269 | Journal of Mathematical Analysis and Applications | 2017 | 31 Pages |
Abstract
For an infinite-codimensional closed subspace M of a separable Hilbert space H, we show that every bounded linear operator A:MâH has a chaotic extension T:HâH. As a generalization of this result, we further show that for any uniformly bounded sequence of linear operators An:MâH, there exists a bounded linear operator V:Mâ¥âH on the orthogonal complement M⥠of M that simultaneously extends all operators An to chaotic operators An+V:HâH.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kit C. Chan, Leonardo Pinheiro,