Operator Frames for Banach Spaces |
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Authors: | Chun-Yan Li |
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Institution: | 1. Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, People??s Republic of China
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Abstract: | In this paper, operator Bessel sequences, operator frames, Banach operator frames, Operator Riesz bases for Banach spaces
and dual frames of an operator frame are introduced and discussed. The necessary and sufficient condition for a Banach space
to have an operator frame, a Banach operator frame or an operator Riesz basis are given. In addition, operator frames and
operator Riesz bases are characterized by the analysis operator of operator Bessel sequences. |
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Keywords: | |
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