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- W2337480826 abstract "This note has two objectives. The first objective is show that, even if a separable Banach space does not have a Schauder basis (S-basis), there always exists Hilbert spaces $mcH_1$ and $mcH_2$, such that $mcH_1$ is a continuous dense embedding in $mcB$ and $mcB$ is a continuous dense embedding in $mcH_2$. This is the best possible improvement of a theorem due to Mazur (see cite{BA} and also cite{PE1}). The second objective is show how $mcH_2$ allows us to provide a positive answer to the Marcinkiewicz-basis (M-basis) problem." @default.
- W2337480826 created "2016-06-24" @default.
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- W2337480826 date "2016-04-12" @default.
- W2337480826 modified "2023-09-27" @default.
- W2337480826 title "The S-basis and M-basis Problems for Separable Banach Spaces" @default.
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