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A class of Banach spaces with few non strictly singular operators

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 نشر من قبل Jordi Lopez-Abad
 تاريخ النشر 2003
  مجال البحث
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We construct a family $(mathcal{X}_al)_{alle omega_1}$ of reflexive Banach spaces with long transfinite bases but with no unconditional basic sequences. In our spaces $mathcal{X}_al$ every bounded operator $T$ is split into its diagonal part $D_T$ and its strictly singular part $S_T$.

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