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Frame expansions in separable Banach spaces |
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| Authors: | Pete Casazza Diana T Stoeva |
| Institution: | a Department of Mathematics, University of Missouri, Columbia, MO 65211, USA b Technical University of Denmark, Department of Mathematics, Building 303, 2800 Lyngby, Denmark c Department of Mathematics, University of Architecture, Civil Engineering and Geodesy, Blvd. Christo Smirnenski 1, 1046 Sofia, Bulgaria |
| Abstract: | Banach frames are defined by straightforward generalization of (Hilbert space) frames. We characterize Banach frames (and Xd-frames) in separable Banach spaces, and relate them to series expansions in Banach spaces. In particular, our results show that we can not expect Banach frames to share all the nice properties of frames in Hilbert spaces. |
| Keywords: | Frames Banach frames p-Frames Expansions in Banach spaces |
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