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''Kantorovich space''

An ordered complete vector space, i.e. a semi-ordered vector space (cf. [[Semi-ordered space|Semi-ordered space]]) in which every set that is bounded from above has a supremum. This notion was introduced by L.V. Kantorovich [[#References|[1]]].

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  L.V. Kantorovich,   "Lineare halbgeordnete Räume"  ''Mat. Sb.'' , '''2'''  (1937)  pp. 121–165</TD></TR></table>



====Comments====


====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  H. Freudenthal,   "Teilweise geordnete Moduln"  ''Proc. K. Ned. Akad. Wetensch. Amsterdam'' , '''39'''  (1936)  pp. 641–651</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top">  F. Riesz,   "Sur quelques notions fondamentales dans la théorie générale des opérations linéaires"  ''Ann. of Math.'' , '''41'''  (1940)  pp. 174–206</TD></TR><TR><TD valign="top">[a3]</TD> <TD valign="top">  S.W.P. Steen,   "An introduction to the theory of operators I"  ''Proc. London Math. Soc. (2)'' , '''41'''  (1936)  pp. 361–392</TD></TR><TR><TD valign="top">[a4]</TD> <TD valign="top">  W.A.J. Luxemburg,   A.C. Zaanen,   "Riesz spaces" , '''I''' , North-Holland  (1971)</TD></TR><TR><TD valign="top">[a5]</TD> <TD valign="top">  A.C. Zaanen,   "Riesz spaces" , '''II''' , North-Holland  (1983)</TD></TR><TR><TD valign="top">[a6]</TD> <TD valign="top">  H.H. Schaefer,   "Banach lattices and positive operators" , Springer  (1974)</TD></TR><TR><TD valign="top">[a7]</TD> <TD valign="top">  B.Z. Vulikh,   "Introduction to the theory of partially ordered spaces" , Wolters-Noordhoff  (1967)  (Translated from Russian)</TD></TR></table>