Approximately dual \(p\)-approximate Schauder frames. (English) Zbl 1538.42066
Summary: Approximately dual frame in Hilbert spaces was introduced by Christensen and Laugesen to overcome difficulties in constructing dual frames for a given Hilbert space frame. It becomes even more difficult in Banach spaces to construct duals. For this purpose, we introduce approximately dual frames for a class of approximate Schauder frames for Banach spaces and develop basic theory. Approximate dual for this subclass is completely characterized and its perturbation is also studied.
MSC:
| 42C15 | General harmonic expansions, frames |
References:
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