On the ideal centre of the space of vector valued integrable functions


TURAN B. , Cevik C.

POSITIVITY, cilt.13, sa.2, ss.427-433, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s11117-008-2176-0
  • Dergi Adı: POSITIVITY
  • Sayfa Sayıları: ss.427-433

Özet

Let E be a Banach lattice and L(1)(mu, E) be the space of E-valued Bochner integrable functions. Some order properties of L(1)(mu, E) are given. It is shown that L(s)(infinity) (mu, Z(E)) is the ideal centre of L(1)(mu, E) and it is obtained a Radon-Nikodym type theorem for B-integrable functions.