# Banach Spaces Of The Type Of Tsirelson

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### Some Problems Concerning Basic Sequences in Banach

oleh J Lopez-Abad 2011 Dirujuk 1 kali of some of the classical sequence spaces c0 or ℓp, p ≥ 1. Tsirelson space T [39] is the first non-classical Banach space, as it does not have such 22 halaman

### BANACH SPACES WITH PROPERTY (M) AND THEIR

oleh S DUTTA 2007 Dirujuk 11 kali We show that a separable Banach space with property (M classical Tsirelson space T shows that summability of the Szlenk power type is not.

### Factoring absolutely summing operators through Hilbert

oleh H Jarchow 1989 Dirujuk 2 kali Given a Banach space X, we shall write as usual Bx for its closed unit ball, X* for its dual, ST belongs to the class of Tsirelson-like Banach spaces;.

### Tsirelson-like spaces and complexity of classes of Banach

oleh O Kurka 2016 Dirujuk 11 kali MATH-KMA-2015/482 Filip Soudský: Note on linearity of rearrangement-invariant function spaces. MATH-KMA-2015/483 R. Černý: New results concerning Moser-type

### THE BANACH SPACE S IS COMPLEMENTABLY MINIMAL

oleh G ANDROULAKIS 2000 Dirujuk 32 kali A Banach space X with a basis is called subsequentially prime if for every basic For two Banach spaces X and Y we write X ≈c Y if.

### Chapter 3 Examples 3.1 Orlicz sequence spaces

oleh O Vladimirskaya 1999 Orlicz function M and sequence {Xn} of Banach spaces we associate spaces of Tsirelson-type were obtained in order to solve some long-.

### STABILIZATION OF TSIRELSON-TYPE NORMS ON lp

oleh A Pelczar 2007 Dirujuk 3 kali on the hereditarily indecomposable Gowers-Maurey space. Tsirelson-type norms provide important examples of Banach spaces,

### Hereditary approximation property - Annals of Mathematics

oleh WB Johnson 2012 Dirujuk 17 kali Recall that a Banach space X is said to have the approximation property Tsirelson/Schlumprecht type, presented in Section 3 as example (A). We also.

### Banach Spaces from Barriers in High Dimensional Ellentuck

oleh G Girón-Garnica 2017 Dirujuk 1 kali We construct new Banach spaces using barriers in high dimensional Ellentuck spaces [9] following the classical framework under which a Tsirelson type norm

### Banach spaces with few operators

oleh B Maurey Dirujuk 45 kali Tsirelson [Ts], who constructed a reflexive Banach space that does not contain ditional basis, non trivial type and not containing l2,

### A remark about distortion

oleh B Maurey Dirujuk 34 kali In this note we show that every Banach space X not containing ℓn space. This was disproved by Tsirelson's example [T] of a space containing no subspace

### INSTITUTE OF MATHEMATICS THE CZECH A CADEMY OF

oleh O Kurka Dirujuk 11 kali vestigated codings of separable Banach spaces up to isomorphism by In this section, we will use Tsirelson type spaces introduced by.

### THEOREMS OF BANACH-STONE TYPE FOR - IME-USP

oleh DM Vieira Dirujuk 16 kali U and V of Tsirelson-like spaces, the algebras of holomorphic functions of bounded type Hb(U) and Hb(V ) are topologically isomorphic if and only if there

### INDISCERNIBLE SEQUENCES IN BANACH SPACE

oleh J IOVINO Dirujuk 3 kali (1) Tsirelson's example of a Banach space not containing lp or c0 [75]; Banach space theory as the space of types is not what is understood as.

### G. Botelho The polynomial dual of an operator ideal

Nachbin: A holomorphy type Θ from the Banach space E to the. Banach space F is a sequence of A Banach space is said to be a semi-Tsirelson space if.

### ON BANACH SPACES WITH STRONGLY SEPARABLE TYPES

oleh R Haydon 1986 Dirujuk 30 kali On the other hand, E. Odell has shown that if X is the Tsirelson space of Let Ybea linear subspace of a Banach space X. A type x e %(X).15 halaman

### THE COARSE GEOMETRY OF TSIRELSON'S SPACE AND

oleh F Baudier 2018 Dirujuk 19 kali embeddings of a certain type, e.g. Lipschitz, uniform, or coarse. Tsirelson's original space T∗ was the first example of a Banach space

### Minimality properties of Tsirelson type spaces - Math

oleh D KUTZAROVA Abstract. In this paper, we study minimality properties of partly modified mixed Tsirelson spaces. A Banach space with a normalized.

### arXiv:1603.08134v6 [math.LO] 10 Mar 2021 ℵ0-categorical

oleh K Khanaki 2016 ℵ0-categorical Banach spaces contain ℓp or c0 which asserts that the type space of Tsirelson's space is strongly separable, we show that.

### HOLOMORPHIC GERMS ON TSIRELSON'S SPACE

oleh J MUJICA 1995 Dirujuk 16 kali Banach space X constructed by Tsirelson in [20]. In particular, ßf(K) is all entire functions of bounded type on X is a totally reflexive Fréchet space.

### On the randomized complexity of Banach space valued

oleh S Heinrich Dirujuk 2 kali constructed Tsirelson spaces without type p but with equal norm type p. Finally,. V. Mascioni introduced and studied the notion of weak type p for 1

### Examples of Asymptotic ℓ1 Banach Spaces

oleh SA Argyros 1997 Dirujuk 131 kali construction by W.T. Gowers and B. Maurey of a Banach space not containing an The Tsirelson type Banach space T[M, 9] is the completion of coo.

### Asymptotic Structure of Banach Spaces - CORE

oleh N Dew Dirujuk 24 kali distortable. The first example of an arbitrarily distortable Banach space, Schlumprecht space, was constructed in [74], using a Tsirelson type construction.

### On the Borel Complexity of some classes of Banach spaces

oleh B Braga 2013 Banach spaces being complemented in the space of its bounded operators or not. terms of the existence of a special kind of bush on the space ([G], [J3])

### RAMSEY THEORY AND BANACH SPACE GEOMETRY

2.2.2 Tsirelson-type spaces definitions from Banach space theory that we shall use, as well as the background that motivates the results presented in

### PDF download - World Scientific

Schlumprecht [2011] that every Banach space with separable dual embeds in an iso- morphic predual of `1. and admitting norm estimates of Tsirelson type.

### The Szlenk index and asymptotic geometry of Banach spaces

14 Jan 2021 (C) the Szlenk power type is a quantity which carries information X∗ also forms a Banach space when equipped with the norm:.

### Dimension reduction in discrete metric geometry

like all Tsirelson-type spaces, is a Banach space of sequences whose norm is defined im- plicitly rather than explicitly. Tsirelson-type spaces have played

### A Norm for Tsirelson's Banach Space

oleh D Ojeda-Aristizabal 2013 Dirujuk 4 kali Besides studying the properties of F, many Tsirelson-type spaces were studied In Section 2 we introduce the notation and the results from Banach space.

### Tsirelson's space - Student Theses Faculty of Science and

oleh MR Riegraf 2020 classical Banach spaces shared the property that they all have subspaces isomorphic Finally, we prove the existence of a Banach space of Tsirelson type,

### 118398.pdf - Documat

oleh R GONZALO Dirujuk 38 kali Banach spaces X and Y in order to obtain that every polynomial of a given Next we will relate properties Sy and To with type and cotype. First note.

### Representations of ideals in Polish groups and in Banach

oleh P BORODULIN NADZIEJA Dirujuk 18 kali where (xn)n∈ω is a sequence in a Polish group or in a Banach space. In this case, we write I = Im. Summable ideals, together with density ideals,

### A Banach space with a symmetric basis which is of - ResearchGate

y. Abstract. We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2. Introduction. Weak type 2 and weak cotype 2 spaces

### Download this PDF file

oleh JMF Castillo 1993 Dirujuk 18 kali We shall now apply the preceding ideas to obtain most of the basic properties of Tsirelson's space T*. This is a reflexive Banach sequence space which does

### A uniformly convex Banach space which contains - Numdam

oleh T Figiel 1974 Dirujuk 256 kali is of power type. 1. Introduction. Recently Tsirelson [11] constructed an example of a reflexive Banach space with unconditional basis which contains no

### PDF (497 KB)

oleh R Alencar 1998 Dirujuk 13 kali results about the Tsirelson space T, its dual T' and the James space (2 )~ (8) Banach spaces of (weak) Rademacher type p E]1,2] have property.

### Asymptotic Structure of Banach Spaces - CORE

oleh N Dew Dirujuk 24 kali distortable. The first example of an arbitrarily distortable Banach space, Schlumprecht space, was constructed in [74], using a Tsirelson type construction.

### 1. Introduction and statement of the main result - Lancaster

oleh K Beanland 2019 Dirujuk 1 kali Banach space, Grothendieck space, Tsirelson space, Baernstein space, bounded operator, diagonal operator. Analogously, we write (⊕.

### Some equivalent norms on the Hilbert space - De Gruyter

oleh G Androulakis 2011 Banach Spaces and their Applications in Analysis, 241 250 We present a family of some new Tsirelson-type norms for the separable Hilbert space.

### Banach spaces determined by their uniform structures

oleh WB Johnson Dirujuk 89 kali Banach space as a topological space gives no information about the linear structure of Tsirelson type without solving this problem about Tp. However,

### The Nonlinear Geometry of Banach Spaces - Revistas

oleh NJ KALTON 2008 Dirujuk 87 kali A Banach space with nontrivial type (i.e., type p > 1) always has Indeed they showed the existence of spaces X (variants of the Tsirelson space [32]).

### The coarse geometry of Tsirelson's space and - NSF-PAR

oleh F Baudier 2018 Dirujuk 19 kali structure of Banach spaces coarsely embeddable into Tsirelson's original Tsirelson-type spaces are all reflexive and satisfy inequality

### On the undefinability of Tsirelson's space and its descendants

oleh PG CASAZZA 2018 Dirujuk 2 kali allows us to talk about the type of the Tsirelson space over any class of Banach spaces, and gives us a criterion to verify whether this type is definable.

### Banach spaces for which the space of operators has 2 closed

oleh D Freeman 2021 Dirujuk 1 kali classical sequence spaces and Tsirelson-type spaces. In particular, we prove that the cardinality of the set ofclosed.20 halaman

### Curriculum Vitae

Functional analysis, Geometry of Banach spaces. ``A complete classification of Tsirelson type spaces , Canadian Journal of Math.60 (2008), 1108-1148,.

### Stabilization of Tsirelson-Type Norms on - JSTOR

oleh AM Pelczar 2007 Dirujuk 3 kali INTRODUCTION. The Tsirelson space T provided the base for further constructions of Banach spaces, which solved crucial problems in the

### Introduction

oleh DG Carando 2010 Dirujuk 21 kali Let 2 = {2k}k be a coherent sequence of polynomial ideals and E be a Banach space. We define the space of 2-holomorphic functions of bounded type by.

### A note on Tsirelson type ideals

oleh V Boban Dirujuk 13 kali Abstract. Using Tsirelson's well-known example of a Banach space which does not contain a copy of c0 or lp, for p ≥ 1, we construct a simple Borel ideal IT

### GENUS n BANACH SPACES - Project Euclid

oleh PG Casazza 1999 Dirujuk 1 kali More recently Casazza and Kalton [4], [5] showed that other Tsirelson type spaces, certain Nakano spaces, andsome co sums of e , with p

### On asymptotically uniformly smooth Banach spaces

oleh M Raja 2013 Dirujuk 12 kali asymptotically uniformly smooth renorming using an ordinal type index defined for subsets of the space. Among the applications, we prove that the modulus of