scholarly journals Metric characterization of first Baire class linear forms and octahedral norms

1989 ◽  
Vol 95 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Gilles Godefroy
Keyword(s):  
Baire Class ◽  
Linear Forms ◽  
Metric Characterization ◽  
First Baire Class

scholarly journals BIDUAL OCTAHEDRAL RENORMINGS AND STRONG REGULARITY IN BANACH SPACES

2019 ◽  
pp. 1-17 ◽  
Author(s):  
Johann Langemets ◽  
Ginés López-Pérez
Keyword(s):  
Banach Space ◽  
Studia Math ◽  
Direct Consequence ◽  
Baire Class ◽  
Dual Norm ◽  
Separable Predual ◽  
Separable Case ◽  
Strongly Regular ◽  
First Baire Class

We prove that every separable Banach space containing an isomorphic copy of $\ell _{1}$ can be equivalently renormed so that the new bidual norm is octahedral. This answers, in the separable case, a question in Godefroy [Metric characterization of first Baire class linear forms and octahedral norms, Studia Math. 95 (1989), 1–15]. As a direct consequence, we obtain that every dual Banach space, with a separable predual and failing to be strongly regular, can be equivalently renormed with a dual norm to satisfy the strong diameter two property.

Lexicographic products as compact spaces of the first Baire class

2019 ◽  
Vol 267 ◽  
pp. 106871
Author(s):  
Antonio Avilés ◽  
Stevo Todorcevic
Keyword(s):  
Baire Class ◽  
Compact Spaces ◽  
First Baire Class

Characterization of distributions by the identical distribution of linear forms

1966 ◽  
Vol 3 (02) ◽  
pp. 481-494 ◽  
Author(s):  
Morris L. Eaton
Keyword(s):  
Random Variables ◽  
Linear Forms ◽  
Characterization Of Distributions ◽  
Identical Distribution ◽  
The Law

Throughout this paper, we shall write ℒ(W) = ℒ(Z) to mean the random variables W and Z have the same distribution. The relation “ℒ(W) = ℒ(;Z)” reads “the law of W equals the law of Z”.

scholarly journals Geometry of multilinear forms

2019 ◽  
Vol 22 (02) ◽  
pp. 1950011 ◽  
Author(s):  
W. V. Cavalcante ◽  
D. M. Pellegrino ◽  
E. V. Teixeira
Keyword(s):  
Unit Ball ◽  
Extreme Points ◽  
Linear Forms ◽  
Multilinear Forms ◽  
Elementary Steps ◽  
Full Characterization ◽  
Constructive Process

We develop a constructive process which determines all extreme points of the unit ball in the space of [Formula: see text]-linear forms, [Formula: see text] Our method provides a full characterization of the geometry of that space through finitely many elementary steps, and thus it can be extensively applied in both computational as well as theoretical problems; few consequences are also derived in this paper.

Sex and age‐biased exploitation and metric characterization of medium‐sized deer in the lower Paraná wetland, South America

2019 ◽  
Vol 29 (6) ◽  
pp. 889-907 ◽  
Author(s):  
Daniel Loponte ◽  
María José Corriale ◽  
Leonardo Mucciolo ◽  
Alejandro Acosta
Keyword(s):  
South America ◽  
Metric Characterization

A Simpler Proof for the ϵ-δ Characterization of Baire Class one Functions

2014 ◽  
Vol 39 (2) ◽  
pp. 441 ◽  
Author(s):  
Jonald P. Fenecios ◽  
Emmanuel A. Cabral
Keyword(s):  
Baire Class

Characterization of distributions by the identical distribution of linear forms

1966 ◽  
Vol 3 (2) ◽  
pp. 481-494 ◽  
Author(s):  
Morris L. Eaton
Keyword(s):  
Random Variables ◽  
Linear Forms ◽  
Characterization Of Distributions ◽  
Identical Distribution ◽  
The Law

Throughout this paper, we shall write ℒ(W) = ℒ(Z) to mean the random variables W and Z have the same distribution. The relation “ℒ(W) = ℒ(;Z)” reads “the law of W equals the law of Z”.

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