TY - BOOK AU - Takesaki,M. ED - SpringerLink (Online service) TI - Tomita's Theory of Modular Hilbert Algebras and its Applications T2 - Lecture Notes in Mathematics, SN - 9783540362678 AV - QA1-939 U1 - 510 23 PY - 1970/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Mathematics, general N1 - Preliminaries -- Modular Hilbert algebras -- Generalized Hilbert algebras -- The commutation theorem for modular Hilbert algebras -- Self-adjoint subalgebras of generalized Hilbert algebras -- The spectral algebra -- The modular operator ? -- The resolvent of the modular operator ? -- The one-parameter automorphisms defined by the modular operator ? -- Formulation of the modular Hilbert algebra -- Tensor product and direct sum of modular Hilbert algebras -- The standard representation of von Neumann algebras -- The modular automorphism group and the Kubo-Martin-Schwinger boundary condition -- Semi-finiteness and the modular automorphism group UR - http://dx.doi.org/10.1007/BFb0065832 ER -