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Abstract
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Let H be a separable Hilbert space, and let gB be the set of all g-Bessel sequences for H.
We show that gB is a C^*-algebra isometrically isomorphic to L(H) (the algebra of all bounded linear
operators of H). Also, we classify g-Bessel sequences in H in terms of different kinds of operators in
L(H). Using operator theory tools, we investigate geometry of g-Bessel sequences.
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