G. Buskes, A. G. Kusraev, “Representation and extension of orthoregular bilinear operators”, Владикавк. матем. журн., 2007, том 9, номер 1,страницы 16

Эта публикация цитируется в 27 статьях

Representation and extension of orthoregular bilinear operators

G. Buskes^a, A. G. Kusraev^b

^a Department of Mathematics, University of Mississippi, USA
^b Institute of Applied Mathematics and Informatics, Vladikavkaz Science Center of the RAS, Vladikavkaz, Russia

Аннотация: In this paper we study some important structural properties of orthosymmetric bilinear operators using the concept of the square of an Archimedean vector lattice. Some new results on extension and analytical representation of such operators are presented.

Ключевые слова: vector lattice, positive bilinear operator, orthosymmetric bilinear operator, orthoregular bilinear operator, lattice bimorphism.

УДК: 517.98

MSC: 46A40, 47A65

Поступила в редакцию: 15.03.2006

Язык публикации: английский