Some General Theorems and Convergence Theorems in Vector Lattices
Tôzirô Ogasawara · Hiroshima Mathematical Journal · 1949
\ / •several at~;mpts have been made to investigate the fundamental p~o~rties of vector" f\atti~. .Among them mo~t important are the spectral theory deve~oped by I?.Rieszd> ~pd H. Freudental, and the representation 'theory _by S. kakutani( 31 , M.H. Stone< 41 and i.tithers.In ~y previous worksrldnvestigated the ~eneral -pi;operties of vector latti<::e, ~-fepresentation•theories of vector 'lattice anti linoor operator~.•Tile .purl)Ose of the pre~t .•~i j i :-