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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1995.tde-20210729-010846
Document
Author
Full name
Ivanildo Dias de Lima
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1995
Supervisor
Title in Portuguese
Sobre a capacidade da envoltoria convexa dos pontos extremais de um convexo fechado ilimitado e line-free do 'R POT.N'
Keywords in Portuguese
Análise Funcional
Análise Matemática (Textos Avançados)
Abstract in Portuguese
Seja c um subconjunto convexo fechado, ilimitado e livre de retas do 'R POT.N'. Denotamos por c=co'BARRA' (textc) e co'BARRA' (textc) as envoltorias convexas fechadas dos pontos extremais e terminais extremais de c, respectivamente. Queremos encontrar condicoes necessarias e suficientes para que c seja compacto. Primeiramente mostramos que c e compacto com interior entao co'BARRA' (textc) e diferente de vazio, compacto e tambem c 'CONTIDO'co'BARRA' (textc) + l, onde l e uma reta gerada por qualquer direcao extremal de c. Por outro lado, se co'BARRA' (textc) for compacto e c 'CONTIDO'co'BARRA' (textc) + l, descrito conforme acima, entao temos c compacto. Por fim, mostramos que se c e compacto com interior e co'BARRA' (textc) nao tem interior entao c= h-'INTERSECAO'c e co'BARRA' (textc)=h 'INTERSECAO'c, onde h=aff (textc)
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2021-07-29
 
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