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- W4293496984 abstract "The paper is devoted to two particular cases of the following general problem. Let $alpha$ and $beta$ be two types of bases in Banach spaces. Let a Banach space $X$ has bases of both types and a subspace $Msubset X^*$ contains the sequence of biorthogonal functionals of some $alpha$-basis in $X$. Does $M$ contain a sequence of biorthogonal functionals of some $beta$-basis in $X$? The following particular cases are considered: $(alpha, beta)$=(Schauder bases, unconditional bases), $(alpha, beta)$=(Nonlinear operational bases, linear operational bases). The paper contains an investigation of some of the spaces constructed by S.Belle-not in ``The $J$-sum of Banach spaces'', J. Funct. Anal. {bf 48} (1982), 95--106. (These spaces are used in some examples.)" @default.
- W4293496984 created "2022-08-29" @default.
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- W4293496984 date "1994-04-20" @default.
- W4293496984 modified "2023-09-27" @default.
- W4293496984 title "Subspaces containing biorthogonal functionals of bases of different types" @default.
- W4293496984 doi "https://doi.org/10.48550/arxiv.math/9404213" @default.
- W4293496984 hasPublicationYear "1994" @default.
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