Orientador: Raymundo Luiz de Alencar / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica / Made available in DSpace on 2018-07-20T19:42:13Z (GMT). No. of bitstreams: 1
Botelho_GeraldoMarciodeAzevedo_D.pdf: 1909203 bytes, checksum: 24a901842f8a888602fc4a14674ce177 (MD5)
Previous issue date: 1995 / Resumo: Não informado / Abstract: The main purpose of this thesis is to study the connections between the notions of type and cotype, the generalized Rademacher functions and the theory of multilinear mappings and homogeneous polynomials in Banach spaces. In chapter 1 we prove that the traditional Rademacher functions can be replaced by the generalized ones in the definitions of type and cotype in complex Banach spaces. It is also shown that there are standard type Kahane inequalities for the generalized Rademacher functions. Next we provide new applications of the notions of type and cotype to the theory of multilinear mappings and homogeneous polynomials in Banach spaces. In chapter 2 we show how the notion of type can be used to construct LebesgueBochner spaces-valued multilinear mappings and homogeneous polynomials. With the help of the notion of cotype, in chapter 3 we prove several results about absolutely summing multilinear mappings and homogeneous polynomials. / Doutorado / Doutor em Matemática
Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.unicamp.br:REPOSIP/306407 |
Date | 07 December 1995 |
Creators | Botelho, Geraldo Marcio de Azevedo |
Contributors | UNIVERSIDADE ESTADUAL DE CAMPINAS, Alencar, Raymundo Luiz de, 1947-, Lourenço, Mary Lilian, Soraggi, Roberto Luiz, Matos, Mário Carvalho de, Mujica, Jorge |
Publisher | [s.n.], Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica, Programa de Pós-Graduação em Matemática |
Source Sets | IBICT Brazilian ETDs |
Language | Portuguese |
Detected Language | English |
Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/doctoralThesis |
Format | 90f. : il., application/pdf |
Source | reponame:Repositório Institucional da Unicamp, instname:Universidade Estadual de Campinas, instacron:UNICAMP |
Rights | info:eu-repo/semantics/openAccess |
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