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10 papers · 1 filter
Common subspaces of -spaces
Alexander Koldobsky
For and does there exist an -dimensional Banach space different from Hilbert spaces which is isometric to subspaces of both and ? Generalizi…
Surjective isometries on rearrangement-invariant spaces
Nigel J. Kalton, Beata Randrianantoanina
We prove that if is a real rearrangement-invariant function space on , which is not isometrically isomorphic to then every surjective isometry is of th…
On vector-valued inequalities for Sidon sets and sets of interpolation
Nigel J. Kalton
Let be a Sidon subset of the integers and suppose is a Banach space. Then Pisier has shown that -spectral polynomials with values in behave like Rademacher sums with…
The Distribution of Non-Commutative Rademacher Series
Stephen J. Montgomery-Smith
We give a formula for the tail of the distribution of the non-commutative Rademacher series, which generalizes the result that is already available in the commutative case. As a re…
Set-functions and factorization
Nigel J. Kalton, Stephen J. Montgomery-Smith
If is a submeasure satisfying an appropriate lower estimate we give a quantitative result on the total mass of a measure satisfying We give a dual result for s…
On the distribution of Sidon series
Nakhlé Asmar, Stephen J. Montgomery-Smith
Let B denote an arbitrary Banach space, G a compact abelian group with Haar measure and dual group . Let E be a Sidon subset of with Sidon constant S(E). Let r_n denote…