The Szlenk power type and tensor products of Banach spaces

DOI10.1090/proc/13339zbMath1369.46009arXiv1604.03461OpenAlexW2964196185MaRDI QIDQ2957811

Tomasz Kochanek, Szymon Draga

Publication date: 30 January 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03461

zbMATH Keywords

Szlenk indexdirect suminjective tensor productSzlenk power type

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Spaces of operators; tensor products; approximation properties (46B28)

Related Items (7)

Power type asymptotically uniformly smooth and asymptotically uniformly flat norms ⋮ On strong asymptotic uniform smoothness and convexity ⋮ Unnamed Item ⋮ Operator ideals and three-space properties of asymptotic ideal seminorms ⋮ Power type $\xi $-asymptotically uniformly smooth norms ⋮ CONCERNING SUMMABLE SZLENK INDEX ⋮ Asymptotic smoothness in Banach spaces, three-space properties and applications

Cites Work

• Direct sums and summability of the Szlenk index
• On asymptotic structure, the Szlenk index and UKK properties in Banach spaces
• Compactly uniformly convex spaces and property \((\beta)\) of Rolewicz
• The Szlenk index and local \(\ell_1\)-indices
• Szlenk indices and uniform homeomorphisms
• Estimation of the Szlenk index of Banach spaces via Schreier spaces
• Trees and branches in Banach spaces
• Banach spaces of bounded Szlenk index II
• On weak* uniformly Kadec-Klee renormings
• On finite dimensional subspaces of Banach spaces with local unconditional structure
• The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces
• Biorthogonal systems in Banach spaces
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