Selfdual cones and standard forms of von Neumann algebras

この論文にアクセスする

博士論文

Table of contents / p2 (0005.jp2)
Introduction / p1 (0007.jp2)
Chapter I.A left Hilbert algebra and convex cones / p9 (0015.jp2)
I.1.Left and right Hilbert algebras / p12 (0018.jp2)
I.2.Two dual cones P# and P♭ / p22 (0028.jp2)
I.3.A one-parameter family of cones / p29 (0035.jp2)
I.4.A representation theorem for isomorphisms of standardvon Neumann algebras by the selfdual cones / p36 (0042.jp2)
Chapter II.A tensor product of selfdual cones / p46 (0052.jp2)
II.1.J-positive maps and a tensor product ofselfdual cones / p48 (0054.jp2)
II.2.Selfdual cones associated with an abelianstandard von Neumann algebra / p63 (0069.jp2)
II.3.A saturation of n-J-positive maps / p67 (0073.jp2)
Chapter III.Finite von Neumann algebras and an approximateinnerness of positive linear maps / p77 (0083.jp2)
III.1.A von Neumann algebra with a cyclic and separating vector / p80 (0086.jp2)
III.2.Approximately inner positive linear maps / p88 (0094.jp2)
III.3.A relationship between an approximately innerpositive map and a *-isomorphism of II₁-factors / p94 (0100.jp2)
Chapter IV.Selfdual cones associated with standard formsof injective factors / p105 (0111.jp2)
IV.1.An injectivity and a semi-discreteness ofordered Hilbert spaces / p107 (0113.jp2)
IV.2.A factorization of selfdual cone and maximalabelian subalgebras of injective factors / p117 (0123.jp2)
Bibliography / p128 (0134.jp2)