Geodesic
Field algebras in quantum theory with indefinite metric. II.~Formulation of a~modular theory in Pontryagin space
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 30-44

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The formalism of modular theory for $J$-symmetric weakly closed algebras in Pontryagin space is introduced. Some propositions about the properties of the generalized $J$-Hilbert algebras $\mathscr U$ and $\mathscr U'$ are proved. The main tool in the proofs is the definitizing operator method. 
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     author = {K. Yu. Dadashyan and S. S. Horuzhy},
     title = {Field algebras in quantum theory with indefinite metric. {II.~Formulation} of a~modular theory in {Pontryagin} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {30--44},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a1/}
}
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K. Yu. Dadashyan; S. S. Horuzhy. Field algebras in quantum theory with indefinite metric. II.~Formulation of a~modular theory in Pontryagin space. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 30-44. http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a1/