Tensor products of almost r-summing maps

• Autores: Cándido Piñeiro Gómez
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 40, Fasc. 1, 1989, págs. 67-73
• Idioma: inglés
• Títulos paralelos:
  • Productos tensoriales de aplicaciones casi r-sumables
• Enlaces
  • Texto completo
• Resumen

  • If $T_1$ and $T_2$ are continuous linear maps on locally convex spaces, we prove that $T_1\otimes T_2$ is almost $r$-summing if and only $T_1$ and $T_2$ so are. We also obtain a sufficient condition under which the unique extension of $T_1\otimes T_2$ to the complete $\epsilon$-tensor product is almost $r$-summing. \newline 1980 Mathematics Subject Classification: Primary 46E40. Secondary 47B10.