Abstract
We develop an orbit point of view on the notations of type and cotype and extend Kwapien’s theorem to this setting. We show that such approach provides an exact equality in the latter theorem. In addition, we discuss several well known theorems and reformulate them using the orbit point of view.
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Acknowledgements
The authors would like to thank Nicole Tomczak-Jaegermann for very useful discussions.
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Ben-Efraim, L., Milman, V., Segal, A. (2017). Orbit Point of View on Some Results of Asymptotic Theory; Orbit Type and Cotype. In: Klartag, B., Milman, E. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 2169. Springer, Cham. https://doi.org/10.1007/978-3-319-45282-1_2
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DOI: https://doi.org/10.1007/978-3-319-45282-1_2
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