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- W4281385712 abstract "For a Banach space $X$ with a shrinking Schauder frame $(x_i,f_i)$ we provide an explicit method for constructing a shrinking associated basis. In the case that the minimal associated basis is not shrinking, we prove that every shrinking associated basis of $(x_i,f_i)$ dominates an uncountable family of incomparable shrinking associated bases of $(x_i,f_i)$. By adapting a construction of Pe{l}czy{'n}ski, we characterize spaces with shrinking Schauder frames as spaces having the $w^*$-bounded approximation property." @default.
- W4281385712 created "2022-05-25" @default.
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- W4281385712 date "2022-05-19" @default.
- W4281385712 modified "2023-09-26" @default.
- W4281385712 title "Shrinking Schauder Frames and their Associated Bases" @default.
- W4281385712 doi "https://doi.org/10.48550/arxiv.2205.09783" @default.
- W4281385712 hasPublicationYear "2022" @default.
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