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Abstract
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Let X be a separable Banach space. If X is reflexive, we give characterizations of
von Neumann-Schatten p-frames and von Neumann-Schatten p-Riesz bases in terms of
operators. Using operator theory tools, we prove that the set of all von Neumann-Schatten
p-Bessel sequences for X, is a Banach space. Finally, we give a necessary and sufficient
condition for Banach spaces to have a von Neumann-Schatten p-frame or a von Neumann
-Schatten p-Riesz basis.
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