Algumas Propriedades dos Espaços Lp
DOI:
https://doi.org/10.13102/sscf.v2i.5293Keywords:
Espaços Métricos, Espaços Lp, Classes de Equivalência, Espaços Topológicos.Abstract
Neste trabalho demonstramos algumas propriedades dos espaços Lp. As três primeiras servem para caracterizar casos patológicos ou muito singulares. A quarta propriedade fornece uma caracterização da norma para p tendendo ao infinito.Downloads
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References
B.J. Fernandes, Medida e Integração. Rio de Janeiro: Projeto Euclides-IMPA-CNPQ (1976).
W. Rudin, Real and Complex Analysis. New York: McGraw-Hill Inc. (1981).
C.S. Cardassi, Geometria de Espaços de Banach e Novos Ideais Clássicos de Operadores. In: Colóquio Brasileiro de Matemática, 16º, Ata, 1988. Rio de Janeiro: IMPA (1988).
J. Diestel, J.J. Uhl Jr., Vector Measures (Mathematical Surveys (15)). Providence: AMS (1977).
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