A Note on Bi-orthomorphisms

Buskes G., Page R., Yilmaz R.

3rd Meeting on Vector Measures, Integration and Applications, Eichstatt, Almanya, 01 Eylül 2008, cilt.201, ss.99-100, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 201
  • Basıldığı Şehir: Eichstatt
  • Basıldığı Ülke: Almanya
  • Sayfa Sayıları: ss.99-100
  • Anahtar Kelimeler: Separately order bounded, bilinear map of order bounded variation, disjointness preserving bilinear operator, bi-orthomorphism, TENSOR-PRODUCTS
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

We show that the space of bi-orthomorphisms forms a vector lattice. The space of orthomorphisms on a semiprime f-algebra is a vector sub-lattice of the space of hi-orthomorphisms and an ideal in the case that the f-algebra is Dedekind complete.