For every symmetric sequence space E we denote by CE the associated unitary matrix space. We show that every basic sequence in CE has a subsequence which embeds in l2 ⊕ E. This reduces many problems about CE to the analogous problems on E. We also study the asymptotic behavior of the embeddings of one unitary sequence space into another, and the problem of the uniqueness of the symmetric structure of unitary matrix spaces.
|Number of pages||39|
|Journal||Journal of Functional Analysis|
|State||Published - 15 Feb 1981|
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