Literature cited
H. J. Borchers and J. Yngvason, “On the algebra of fields operators. The weak commutant and integral decomposition of states,” Commun. Math. Phys.,42, 231–252 (1975).
P. Richter, “Zur Zerlegung von Darstellungen nuclearer Algebren,” Wiss. Z. Karl-Marx-Univ. Leipzig. Math.-Naturwiss. R.,33, No. l, 63–65 (1984).
R. T. Powers, “Self-adjoint algebras of unbounded operators,” Commun. Math. Phys.,21, 85–124 (1971).
Yu. M. Berezanskii, Self-Adjoint Operators in Spaces of Functions of Infinitely Many Variables [in Russian], Naukova Dumka, Kiev (1978).
Yu. M. Berezanskii, “Projection spectral theorem,” Usp. Mat. Nauk,39, No. 4, 3–52 (1984).
Yu. M. Berezanskii, “On the projection spectral theorem,” Ukr. Mat. Zh.,37, No. 2, 146–154 (1985).
H. Schaefer, Topological Vector Spaces [Russian translation], Mir, Moscow (1971).
A. E. Nussbaum, “Quasianalytic vectors,” Ark. Mat.,6, No. 2, 179–191 (1965).
J. Dixmier, C*-Algebras and Their Representations [Russian translation], Nauka, Moscow (1974).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 2, pp. 235–243, March–April, 1987.
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Yakovlev, V.S. Representations of some commutative nuclear*-algebras. Ukr Math J 39, 199–205 (1987). https://doi.org/10.1007/BF01057505
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DOI: https://doi.org/10.1007/BF01057505