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

TURAN, BAHRİ; Cevik, CÜNEYT

doi:10.1007/s11117-008-2176-0

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-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 13 Sayı: 2
Basım Tarihi: 2009
Doi Numarası: 10.1007/s11117-008-2176-0
Dergi Adı: POSITIVITY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.427-433
Gazi Üniversitesi Adresli: Evet

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.