Banach Spaces with a Unique Unconditional Basis, up to Permutation

• Author(s): Jean Bourgain,
• Publisher: American Mathematical Soc.
• Pages: 111
• ISBN_10: 082182323X
  ISBN_13: 9780821823231
  
• Language: en
• Categories: Mathematics / Functional Analysis ,

Description:... In the memoir we examine the question which Banach spaces have a unique unconditional basis, up to equivalence and permutation. We solve this question for some infinite direct sums of classical sequence spaces and for a Tsirelson type space. We also classify, up to isomorphism, all the complemented subspaces of some of the examples mentioned above.