On "weak" embeddings of L1

• Autores: Volodymyr Mykhaylyuk, Mykhaylo Popov
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 32, Nº 4, 2006, págs. 1139-1152
• Idioma: inglés
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• Resumen

  • We study the relationships between some notions of "weak" embeddings (semi-embeddings, sign-embeddings, etc.) of the space of the Lebesgue summable functions on the unit segment. First kind of problems - which "weak" embeddings are automatically other ones - are simple and we answer them completely. The questions of the second kind - which "weak" embeddabilities imply others - are difficult and some of them remain still open.