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Banach spaces and Ramsey theory: some open problems (Q549584)

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Language	Label	Description	Also known as
English	Banach spaces and Ramsey theory: some open problems	scientific article

Statements

scholarly article

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Banach spaces and Ramsey theory: some open problems (English)

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zbMATH Open document ID

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10.5052/RACSAM.2010.27

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Jordi López-Abad

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Stevo Todorčević

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM

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publication date

18 July 2011

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full work available at URL

https://arxiv.org/abs/1006.2668

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Banach spaces

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Ramsey theory

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open problems

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MaRDI profile type

MaRDI publication profile

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Every separable metric space is Lipschitz equivalent to a subset of \(C_0\)

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On the Structure of the Spreading Models of a Banach Space

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The ergodicity of weak Hilbert spaces

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Saturated extensions, the attractors method and Hereditarily James Tree Space

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A classification of separable Rosenthal compacta and its applications

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Unconditional families in Banach spaces

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A class of Banach spaces with few non-strictly singular operators

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Ramsey methods in analysis

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Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).

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The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization

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Thin-very tall compact scattered spaces which are hereditarily separable

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OnB-convex Banach spaces

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On J-Convexity and Some Ergodic Super-Properties of Banach Spaces

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On the existence of fundamental and total founded biorthogonal systems in Banach spaces

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On the existence of almost greedy bases in Banach spaces

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Lattice structures and spreading models

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Operators whose dual has non-separable range

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Unconditional basic sequences in spaces of large density

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Sign-Embeddings of l n 1

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ON A QUESTION OF HASKELL P. ROSENTHAL CONCERNING A CHARACTERIZATION OF ${c}_{0}$ AND ${\ell}_{p}$

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Borel sets and Ramsey's theorem

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Operators on \(C[0,1]\) preserving copies of asymptotic \(\ell_1\) spaces

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Subspaces of \(c_0 (\mathbb{N})\) and Lipschitz isomorphisms

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Lipschitz functions on classical spaces

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A Banach Space Not Containing c 0 , l 1 or a Reflexive Subspace

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An infinite Ramsey theorem and some Banach-space dichotomies

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On Banach spaces whose dual balls are not weak\(^*\) sequentially compact

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A Partition Theorem

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Super-reflexive spaces with bases

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A separable somewhat reflexive Banach space with nonseparable dual

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On ω*-basic sequences and their applications to the study of Banach spaces

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The nonlinear geometry of Banach spaces

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Best constants for Lipschitz embeddings of metric spaces into c<sub>0</sub>

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Ramsey families of subtrees of the dyadic tree

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Banach spaces and large cardinals

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On a problem of Rolewicz about Banach spaces that admit support sets

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On the classification of the Banach spaces whose duals are \(L_1\) spaces

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Generic Banach spaces and generic simplexes

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Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach

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Normalized weakly null sequence with no unconditional subsequence

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The distortion problem

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Projections in certain Banach spaces

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Some problems on bases in Banach and Frechet spaces

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Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)

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On factors of C(\([0,1]\)) with non-separable dual

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On the density of families of sets

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A combinatorial problem; stability and order for models and theories in infinitary languages

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Uncountable constructions for B. A., e. c. groups and Banach spaces

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Subspaces without the approximation property

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Spaces with Large Distance to ℓ n ∞ and Random Matrices

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Partition Problems in Topology

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Compact subsets of the first Baire class

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Biorthogonal systems and quotient spaces via Baire category methods

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Walks on ordinals and their characteristics

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Introduction to Ramsey Spaces (AM-174)

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Combinatorial Dichotomies in Set Theory

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Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)

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On perfectly homogeneous bases in Banach spaces

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Sitelinks

Mathematics(1 entry)

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