on duality of modular g-riesz bases and g-riesz bases in hilbert c*-modules
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abstract
in this paper, we investigate duality of modular g-riesz bases and g-riesz basesin hilbert c*-modules. first we give some characterization of g-riesz bases in hilbert c*-modules, by using properties of operator theory. next, we characterize the duals of a giveng-riesz basis in hilbert c*-module. in addition, we obtain sucient and necessary conditionfor a dual of a g-riesz basis to be again a g-riesz basis. we nd a situation for a g-rieszbasis to have unique dual g-riesz basis. also, we show that every modular g-riesz basis is ag-riesz basis in hilbert c*-module but the opposite implication is not true.
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Journal title:
journal of linear and topological algebra (jlta)جلد ۴، شماره ۰۱، صفحات ۵۳-۶۳
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