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Title
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دنباله هاي p-بسل و عملگرها در فضاهاي باناخ
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Type
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Presentation
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Keywords
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p-Bessel sequence, p-Riesz basis, bounded linear operator, Banach algebra.
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Abstract
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Let X be a re
exive separable Banach space and pB be the set of p-Bessel sequences in X for X. We
show that pB is a non-commutative unital Banach algebra isometrically isomorphic to B(X). Also, we
classify p-Bessel sequences for X in terms of di erent kind of operators in B(X). Using operator theory
tools, we investigate the geometry of p-Bessel sequences. Also, we show that the set of all q-Riesz bases
for X is a topological group.
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Researchers
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Farkhondeh Takhteh (First researcher)
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