Each operator in L (lp, lr) (1 < r < p < oo) is compact

• Autores: Ryszard Graslewicz
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 539-542
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • It is known that each bounded operator from $l^p\rightarrow l^r$ is compact. The purpose of this paper is to present a very simple proof of this useful fact.