Title of article
ON SUBSPACE BALANCED CONVEX-CYCLIC OPERATORS
Author/Authors
Baseri ، Gholamreza Department of Mathematics - College of Sciences - Yasouj University , Iloon Kashkooly ، Ali Department of Mathematics - College of Sciences - Yasouj University , Rezaei ، Hamid Department of Mathematics - College of Sciences - Yasouj University
From page
1
To page
6
Abstract
Let X be a separable Banach space and M be a subspace of X. A bounded Linear operator T on X is subspace balanced convex-cyclic for a subspace M, if there exists a vector x∈X such that the intersection of balanced convex hull of orb(T,x) with M is dense in M. We give an example of subspace balanced convex-cyclic operator that is not balanced convex-cyclic. Also we give an improvement of the Kitailike criterion for subspace balanced convex-cyclicity and bring on with the Hahn-Banach characterization for subspace balanced convex-cyclicity.
Keywords
Balanced convex , cyclic operators , Kitai criterion , Hahn Banach theorem
Journal title
Mathematical Analysis and Convex Optimization
Journal title
Mathematical Analysis and Convex Optimization
Record number
2738189
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