Order continuous operators on CD0(K, E) and CDw(K, E)-spaces

Faruk POLAT

Makale detayları

Order continuous operators on CD0(K, E) and CDw(K, E)-spaces

Yazarlar:

Faruk POLAT

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 1, pp.101-106

Belge Tipi:

Makale

Yayın Tarihi:

12/2010

Belge Dili:

İngilizce

Document ID (Org No.):

2000748023

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In [2], Alpay and Ercan characterized order continuous duals of spaces CD0(K, E) and CDw(K, E) where K is a compact Hausdorff space without isolated points and E is a Banach lattice. In this note, we generalize their results to an arbitrary Dedekind complete Banach lattice F, that is to say, we characterize order continuous operators on these spaces taking values in an arbitrary Dedekind complete Banach lattice F.Recall that a topological space is called basically disconnected if the closure of any Fσ -open set is open. A compact Hausdorff space that is basically disconnected will be referred to as a quasi-Stonean space. For a quasi-Stonean space K without isolated points, the following function spaces were introduced by Abramovichand Wickstead [1.

Makale detayları

Order continuous operators on CD0(K, E) and CDw(K, E)-spaces

Yazarlar: Faruk POLAT

Yayıncı: TUBITAK

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics 2011 Vol.35 Issue 1, pp.101-106

Belge Tipi: Makale

Yayın Tarihi: 12/2010

Belge Dili: İngilizce

Document ID (Org No.): 2000748023

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Faruk POLAT

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 1, pp.101-106

Belge Tipi:

Makale

Yayın Tarihi:

12/2010

Belge Dili:

İngilizce

Document ID (Org No.):

2000748023

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098