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References
Ando, T.: Positive linear operators in semi-ordered linear spaces. Jour. Fac. Sci. Hokkaido Univ.13, 214–228 (1954).
Calderon, A.P.: Lebesgue spaces of differentiable functions and distributions. Proc. Symp. Pure Math.,IV, 33–49 (1961). Amer. Math. Soc., Providence.
Glimm, J., Jaffe, A.: En">The λ(Ά4)2: II. Annals of Math.91, 362–401 (1970); III, Acta Math.125, 203–268 (1970)
Gross, L.: A non-commutative extension of the Perron-Frobenius theorem. Bull. Amer. Math. Soc.77, 343–347 (1971).
Kallman, R.R.: Groups of inner automorphisms of von Neumann algebras. Jour. Funct. Anal.7, 43–60 (1971).
Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966.
Kunze, R.A.:L p -Fourier transforms on locally compact unimodular groups. Trans. Amer. Math. Soc.89, 519–540 (1958).
Hille, E.: On semi-groups of transformations in Hilbert space. Proc. Nat. Acad. Sci. USA24, 159–161 (1938).
Segal, I.: Construction of nonlinear local quantum processes: I. Annals of Math.92, 462–481 (1970).
—: Nonlinear functions of weak processes. I. Jour. Funct. Anal.4, 404–457 (1969); Segal, I.: Nonlinear functions of weak processes. II. ibid. Jour. Funct. Anal.,6, 29–75 (1970).
—: Notes towards the construction of nonlinear relativistic quantum fields, III. Bull. Amer. Math. Soc.75, 1390–1395 (1969).
—: A non-commutative extension of abstract integration. Annals of Math.57, 401–457 and58, 595 (1953).
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Research supported in part by the NSF.
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Segal, I. Construction of non-linear local quantum processes. II. Invent Math 14, 211–241 (1971). https://doi.org/10.1007/BF01418890
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DOI: https://doi.org/10.1007/BF01418890