### A restricted form of the theorem of Maurey-Pisier for the cotype in $p$-Banach spaces

J. Bastero (1982)

Annales de l'I.H.P. Probabilités et statistiques

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J. Bastero (1982)

Annales de l'I.H.P. Probabilités et statistiques

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K. Goebel, E. Złotkiewicz (1971)

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Stephen A. Saxon, Albert Wilansky (1977)

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Mieczysław Mastyło (1988)

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Miguel Martín, Javier Merí (2011)

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A Banach space X is said to be an extremely non-complex space if the norm equality ∥Id +T 2∥ = 1+∥T 2∥ holds for every bounded linear operator T on X. We show that every extremely non-complex Banach space has positive numerical index, it does not have an unconditional basis and that the infimum of diameters of the slices of its unit ball is positive.

Stanislaw Kwapien (1972)

Mémoires de la Société Mathématique de France

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