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math.FA2022
Asymptotic smoothness and universality in Banach spaces
Ryan M. Causey, Gilles Lancien
For , we study the complexity and the existence of universal spaces for two classes of separable Banach spaces, denoted and , and…
math.FA2022
Universality, complexity and asymptotically uniformly smooth Banach spaces
Ryan M. Causey, Gilles Lancien
For , we show the existence of a Banach space which is both injectively and surjectively universal for the class of all separable Banach spaces with an equivalent $p…
math.FA2022
Isomorphic classification of projective tensor products of spaces of continuous functions
R. M. Causey, E. Galego, C. Samuel
We prove that for infinite, countable, compact, Hausdorff spaces , is isomorphic to exactly one of the spaces $C(ω^{ω^ξ})\widehat{\otimes}_πC(ω^{…