APPROXIMATELY DUAL p-APPROXIMATE SCHAUDER FRAMES

Article Type

Research Article

Publication Title

Australian Journal of Mathematical Analysis and Applications

Abstract

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.

Publication Date

1-1-2023

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