
arXiv: 2110.12092
In this paper, we introduce, for a separable Banach spacea new notion of besselian paires and of besselian Schauder frames for which we prove for some fundamental results.
27 pages
Besselian Schauder frame, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, General harmonic expansions, frames, separable weakly sequentially complete Banach space, separable Hilbert space, separable Banach space, Schauder frame, General Mathematics (math.GM), Besselian sequence, 46B03, 46B04, 46B10, 46B15, 46B28, 46B45, FOS: Mathematics, Mathematics - General Mathematics
Besselian Schauder frame, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, General harmonic expansions, frames, separable weakly sequentially complete Banach space, separable Hilbert space, separable Banach space, Schauder frame, General Mathematics (math.GM), Besselian sequence, 46B03, 46B04, 46B10, 46B15, 46B28, 46B45, FOS: Mathematics, Mathematics - General Mathematics
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