Geometria dos espaços de Banach Co (K,X)

Rincon Villamizar, Michael Alexander

doi:10.11606/T.45.2016.tde-29082016-181556

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Doctoral Thesis

DOI

https://doi.org/10.11606/T.45.2016.tde-29082016-181556

Document

Doctoral Thesis

Author

Rincon Villamizar, Michael Alexander (Catálogo USP)

Full name

Michael Alexander Rincon Villamizar

E-mail

Institute/School/College

Instituto de Matemática e Estatística

Knowledge Area

Mathematics

Date of Defense

2016-06-15

Published

São Paulo, 2016

Supervisor

Galego, Eloi Medina (Catálogo USP)

Committee

Galego, Eloi Medina (President)
Aurichi, Leandro Fiorini
Kaufmann, Pedro Levit
Silva, Antonio Roberto da
Vieira, Daniela Mariz Silva

Title in Portuguese

Geometria dos espaços de Banach Co (K,X)

Keywords in Portuguese

Espaços de Banach
Espaços de funções continuas
Isomorfismos
Isomorfismos de ordem
Isomorfismos positivos
Reticulados de Banach

Abstract in Portuguese

Para um espaço localmente compacto K e um espaço de Banach X, seja C_0(K,X) o espaço das funções continuas que se anulam no infinito munido da norma do supremo. Nesta tese se provam resultados relacionados com a geometria destes espaços.

Title in English

Geometry of Banach spaces C_0(K,X)

Keywords in English

Banach lattice isomorphisms
Banach lattices
Banach spaces
Isomorphisms
Positive isomorphisms
Spaces of continuous functions

Abstract in English

For a locally compact Hausdorff space K and a Banach spaces X, let C_0(K,X) be the Banach space of continuous functions which vanish at infinity endowed with the supremum norm. We prove some results about geometry of these spaces.

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Publishing Date

2016-08-31

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