A remark on the geometry of the Gowers space



Document title: A remark on the geometry of the Gowers space
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000395872
ISSN: 0037-8712
Authors: 1
Institutions: 1Universidade Estadual de Ponta Grossa, Departamento de Matematica, Ponta Grossa, Parana. Brasil
Year:
Volumen: 24
Number: 1-2
Pages: 35–39-35–39
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract Let Gp be the Gowers complex space of characteristic p, Bp be the unitary closed ball and Sp be the unitary sphere of Gp. Then, any x ∈ Bp can be written in a unique form as the sum of an element of the torus and an element of the unitary open ball of the Gowers space of characteristic p + k, for some k ∈ N, which permit us to show that Bp does not have complex extreme points
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Análisis complejo,
Funciones holomorfas,
Análisis funcional,
Espacios de sucesiones,
Espacios de Banach,
Sucesiones complejas,
Geometría
Keyword: Mathematics,
Pure mathematics,
Complex analysis,
Holomorphic functions,
Functional analysis,
Sequences spaces,
Banach spaces,
Complex sequences,
Geometry
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