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References
H. Araki, On the algebra of all local observables, Res. Inst. Math. Sci. Kyoto, No. 5 (1964), pp. 1–16.
R. Boas, Entire Functions, Academic Press Inc., New York, 1954.
H. Borchers, Energy and momentum as observables in quantum field theory, Commun. Math. Phys., 2(1966), pp. 49–54.
G. Dell'Antonio, On some groups of automorphisms of physical observables, Commun. Math. Phys., 2(1966), pp. 384–397.
N. Dunford and J. Schwartz, Linear Operators, Part I, Interscience Publishers Inc., New York, 1958.
R. Kadison, Derivations of operator algebras, Ann. of Math., 83(1966), pp. 280–293.
R. Kadison and J. Ringrose, Derivations of operator group algebras, Amer. J. Math., 88(1966), pp. 562–576.
R. Kadison and J. Ringrose, Derivations and automorphisms of operator algebras, Commun. Math. Phys., 4(1967), pp. 32–63.
J. von Neumann, Zur Algebra der Funktionaloperationen und Theorie der Normalen Operatoren, Math. Ann., 102(1929), pp. 370–427.
H. Reeh and S. Schlieder, Bemerkungen zur Unitäräquivalenz von Lorentzinvarianten Feldern, Nuovo Cimento, 22(1961), p. 1051.
S. Sakai, Derivations of W*-algebras, Ann. of Math., 83(1966), pp. 273–279.
I. Segal, Decompositions of operator algebras II, Memoirs Amer. Math. Soc., no. 9(1951), pp. 1–66.
R. Streater and A. Wightman, PCT, Spin & Statistics, And All That, W. A. Benjamin Inc., New York, 1964.
M. Stone, On one parameter unitary groups in Hilbert space, Ann. of Math., 33(1932), pp. 643–648.
E. Titchmarsh, The Theory of Functions, Oxford Univ., London 1939.
A. Wightman, La thèorie quantique locale et la théorie quantique des champs, Ann. Inst. Henri Poincaré, 1(1964), pp. 403–420.
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Kadison, R.V. (1970). Some analytic methods in the theory of operator algebras. In: Taam, C.T. (eds) Lectures in modern analysis and applications II. Lecture Notes in Mathematics, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100064
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DOI: https://doi.org/10.1007/BFb0100064
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