Expansion of weak reconstruction sequences to approximate Schauder frames for Banach spaces

Simple item page
dc.contributor.authorMahesh Krishna, K.M.
dc.contributor.authorJohnson, P.S.
dc.date.accessioned2026-02-04T12:28:14Z
dc.date.issued2022
dc.description.abstractIt is known in Hilbert space frame theory that a Bessel sequence can be expanded to a frame. Contrary to Hilbert space situation, using a result of Casazza and Christensen, we show that there are Banach spaces and weak reconstruction sequences which cannot be expanded to approximate Schauder frames. We characterize Banach spaces in which one can expand weak reconstruction sequences to approximate Schauder frames. © 2022 World Scientific Publishing Company.
dc.identifier.citationAsian-European Journal of Mathematics, 2022, 15, 3, pp. -
dc.identifier.issn17935571
dc.identifier.urihttps://doi.org/10.1142/S1793557122500607
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/22661
dc.publisherWorld Scientific
dc.subjectApproximate Schauder frame
dc.subjectexpansion
dc.subjectweak reconstruction sequence
dc.titleExpansion of weak reconstruction sequences to approximate Schauder frames for Banach spaces

Files

Collections

Journal Articles