Abstract
Let X be a normed space, x i ∈ X, i = 1,2,... . In this section we will study the averages \( \left( {\mathop {Ave}\limits_{\varepsilon _i = \pm 1} \left\| {\sum\nolimits_{i = 1}^n {\varepsilon _i x_i } } \right\|^2 } \right)^{1/2} \) and see that the order of magnitude of these averages gives a lot of information about some geometrical properties of X.
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© 1986 Springer-Verlag Berlin Heidelberg
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(1986). Type and Cotype of Normed Spaces, and Some Simple Relations with Geometrical Properties. In: Asymptotic Theory of Finite Dimensional Normed Spaces. Lecture Notes in Mathematics, vol 1200. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38822-7_9
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DOI: https://doi.org/10.1007/978-3-540-38822-7_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16769-3
Online ISBN: 978-3-540-38822-7
eBook Packages: Springer Book Archive