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- W2138668114 abstract "We construct a Banach space that does not contain any infinite unconditional basic sequence and investigate further properties of this space. For example, it has no subspace that can be written as a topological direct sum of two infinite-dimensional spaces. This property implies that every operator on the space is a strictly singular perturbation of a multiple of the identity. In particular, it is either strictly singular or Fredholm with index zero. This implies that the space is not isomorphic to any proper subspace." @default.
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- W2138668114 date "1993-01-01" @default.
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- W2138668114 title "The unconditional basic sequence problem" @default.
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- W2138668114 doi "https://doi.org/10.1090/s0894-0347-1993-1201238-0" @default.
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