Volume 3, Issue 2 (12-2022)                   MACO 2022, 3(2): 1-6 | Back to browse issues page

‎ 10.22034/maco.3.2.1
‎ 20.1001.1.27170624.2022.3.2.1.5

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Iloon Kashkooly A, Baseri G, Rezaei H. On Subspace Balanced Convex-Cyclic Operators. MACO 2022; 3 (2) : 1
URL: http://maco.lu.ac.ir/article-1-111-en.html
On Subspace Balanced Convex-Cyclic Operators
Ali Iloon Kashkooly * , Gholamreza Baseri , Hamid Rezaei
Abstract:   (960 Views)
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.
Article number: 1
Keywords: Balanced convex-cyclic operators, Kitai criterion, Hahn Banach theorem
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Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2023/07/27
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