Une nouvelle classe d'espace de Banach vérifiant le théorème de Grothendieck

DOI10.5802/aif.681zbMath0363.46019OpenAlexW2320670185MaRDI QIDQ1240391

Gilles Pisier

Publication date: 1978

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1978__28_1_69_0

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Duality and reflexivity in normed linear and Banach spaces (46B10)

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The Three Space Problem and Ideals of Operators, Grothendieck's theorem and factorization of operators in Jordan triples, Absolutely summing operators and atomic decomposition in bi-parameter Hardy spaces, Weak Grothendieck's theorem, A Superreflexive Banach Space Which Does Not Admit Complex Structure, Absolutely summing operators and translation invariant spaces of functions on compact abelian groups, Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert, The finite dimensional basis problem with an appendix on nets of Grassmann manifolds, For which \(p\) and \(r\) is the equation \(\Pi_p(L^r,.)=I_p(L^r,.)\) true?, Two remarks concerning the equation \(\Pi_p(X,.)=I_p(X,.)\), Remarks on a characterization of nuclearity, On Trace Ideals, Counterexamples to a conjecture of Grothendieck, New Banach space properties of the disc algebra and \(H^{\infty}\)

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