Displaying similar documents to “On large subspaces of the Schatten p -classes”

The Lindelöf number of C p(X)×C p(X) for strongly zero-dimensional X

Oleg Okunev (2011)

Open Mathematics

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We prove that if X is a strongly zero-dimensional space, then for every locally compact second-countable space M, C p(X, M) is a continuous image of a closed subspace of C p(X). It follows in particular, that for strongly zero-dimensional spaces X, the Lindelöf number of C p(X)×C p(X) coincides with the Lindelöf number of C p(X). We also prove that l(C p(X n)κ) ≤ l(C p(X)κ) whenever κ is an infinite cardinal and X is a strongly zero-dimensional union of at most κcompact subspaces. ...

On total incomparability of mixed Tsirelson spaces

Julio Bernués, Javier Pascual (2003)

Czechoslovak Mathematical Journal

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We give criteria of total incomparability for certain classes of mixed Tsirelson spaces. We show that spaces of the form T [ ( ℳ k , θ k ) k = 1 l ] with index i ( ℳ k ) finite are either c 0 or ℓ p saturated for some p and we characterize when any two spaces of such a form are totally incomparable in terms of the index i ( ℳ k ) and the parameter θ k . Also, we give sufficient conditions of total incomparability for a particular class of spaces of the form T [ ( 𝒜 k , θ k ) k = 1 ∞ ] in terms of the asymptotic behaviour of the sequence ∑ i = 1 n e i where ( e i ) is the canonical...