Isomorphic spectrum and isomorphic length of a Banach space

We prove that, given any ordinal $\delta < \omega_2$, there exists a transfinite $\delta$-sequence of separable Banach spaces $(X_\alpha)_{\alpha < \delta}$ such that $X_\alpha$ embeds isomorphically into $X_\beta$ and contains no subspace isomorphic to $X_\beta$ for all $\alpha < \beta <...

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Bibliographic Details
Main Authors: O. Fotiy, M. Ostrovskii, M. Popov
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2020-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/3879