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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2014.tde-22012015-071858
Document
Author
Full name
Fernando Dallapé Madeira
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2014
Supervisor
Committee
Galego, Eloi Medina (President)
Alencar, Raymundo Luiz de
Silva, Antonio Roberto da
Title in Portuguese
Deslocamentos isométricos em espaços de Banach
Keywords in Portuguese
deslocamentos isométricos em C(X)
deslocamentos isométricos em espaços de Banach
deslocamentos isométricos no espaço produto
deslocamentos reversos
existência de deslocamentos isométricos em espaços de Banach
Abstract in Portuguese
Neste trabalho, estudamos a existência de deslocamentos isométricos no produto de espaços de Banach, munido tanto com a norma infinito como com a norma 1. Em alguns casos, assumimos que pelo menos um dos espaços envolvidos no produto é estritamente convexo e isso deu origem a resultados interessantes. Ainda, exploramos os deslocamentos isométricos em C(X), mostrando como classificá-los de acordo com dois tipos.
Title in English
Isometric shifts on Banach spaces
Keywords in English
backward shifts
existence of isometric shifts on Banach spaces
isometric shifts
isometric shifts on C(X)
isometric shifts on the product of Banach spaces
Abstract in English
In this work, we study the existence of isometric shifts on the product of Banach spaces, equipped with the norms infinity or 1. In some cases, we assume that at least one of these spaces on the product is strictly convex and obtain interesting results. Besides, we explore isometric shifts on C(X), showing how to sort them on two groups.
 
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Publishing Date
2015-01-26
 
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