Extension of Pettis integration: Pettis operators and their integrals

• Autores: Óscar Blasco de la Cruz , Lech Drewnowski
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 70, Fasc. 2, 2019, págs. 267-281
• Idioma: inglés
• DOI: 10.1007/s13348-018-0225-y
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this note, the authors discuss the concepts of a Pettis operator, by which they mean a weak ∗ –weakly continuous linear operator F from a dual Banach space to an ?1 -space, and of its Pettis integral, understood simply as the dual operator ?∗ of F. Applications to radial limits in weak Hardy spaces of vector-valued harmonic and holomorphic functions are provided.