Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2016.tde-07092016-000557
Document
Author
Full name
André Luis Porto da Silva
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2015
Supervisor
Committee
Galego, Eloi Medina (President)
Silva, Antonio Roberto da
Vieira, Daniela Mariz Silva
Silva, Antonio Roberto da
Vieira, Daniela Mariz Silva
Title in Portuguese
Versões não-lineares do teorema clássico de Banach-Stone
Keywords in Portuguese
Distância-malha
Espaços C_0(X)
Geometria não-linear de espaços de Banach
Quasi-isometria
Teorema de Banach-Stone
Espaços C_0(X)
Geometria não-linear de espaços de Banach
Quasi-isometria
Teorema de Banach-Stone
Abstract in Portuguese
No presente trabalho apresentamos dois teoremas obtidos por Gorak em 2011, que são generalizações para o Teorema de Banach-Stone, envolvendo uma classe de funções não-necessariamente lineares, denominadas quasi-isometrias.
Title in English
Coarse versions of the classical Banach-Stone theorem
Keywords in English
Banach-Stone theorem
C_0(X) spaces
Net distance
Nonlinear geometry of Banach spaces
Quasi isometry.
C_0(X) spaces
Net distance
Nonlinear geometry of Banach spaces
Quasi isometry.
Abstract in English
In this work we present two theorems proved by Gorak in 2011. These results are generalizations of the Banach-Stone Theorem envolving a class of not-necessarily linear functions, called quasi-isometries.
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Publishing Date
2016-09-20
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