Matrix subspaces of L₁
If and are two 1-unconditional basic sequences in L₁ with E r-concave and F p-convex, for some 1 ≤ r < p ≤ 2, then the space of matrices with norm embeds into L₁. This generalizes a recent result of Prochno and Schütt.
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Gideon Schechtman (2013)
Studia Mathematica
If and are two 1-unconditional basic sequences in L₁ with E r-concave and F p-convex, for some 1 ≤ r < p ≤ 2, then the space of matrices with norm embeds into L₁. This generalizes a recent result of Prochno and Schütt.
de Malafosse, Bruno, Medeghri, Ahmed (2006)
Journal of Inequalities and Applications [electronic only]
E. Malkowsky, V. Rakočević, Snežana Živković (2002)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
De Malafosse, Bruno, Malkowsky, Eberhard, Rakočević, Vladimir (2006)
International Journal of Mathematics and Mathematical Sciences
Józef Banaś, Antonio Martinón (1992)
Mathematica Slovaca
Banas, Jozef, Martinón, Antonio (1995)
Portugaliae Mathematica
Denka Kutzarova, Denny H. Leung, Antonis Manoussakis, Wee-Kee Tang (2008)
Studia Mathematica
We study minimality properties of partly modified mixed Tsirelson spaces. A Banach space with a normalized basis is said to be subsequentially minimal if for every normalized block basis of , there is a further block basis of such that is equivalent to a subsequence of . Sufficient conditions are given for a partly modified mixed Tsirelson space to be subsequentially minimal, and connections with Bourgain’s ℓ¹-index are established. It is also shown that a large class of mixed Tsirelson...
Daniel Carando, Verónica Dimant, Pablo Sevilla-Peris (2009)
Studia Mathematica
We establish Hölder-type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates for their norms. We also consider norms of multilinear forms in different Banach multilinear ideals.
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