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on subspace balanced convex-cyclic operators
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نویسنده
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baseri gholamreza ,iloon kashkooly ali ,rezaei hamid
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منبع
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mathematical analysis and convex optimization - 2022 - دوره : 3 - شماره : 2 - صفحه:1 -6
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چکیده
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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.
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کلیدواژه
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balanced convex-cyclic operators ,kitai criterion ,hahn banach theorem
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آدرس
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yasouj university, college of sciences, department of mathematics, iran, yasouj university, college of sciences, department of mathematics, iran, yasouj university, college of sciences, department of mathematics, iran
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پست الکترونیکی
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rezaei@yu.ac.ir
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Authors
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