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Arzumanian, Victor Abramovich
(1948–2019)

Statistics Math-Net.Ru
Total publications: 7
Scientific articles: 7

Number of views:
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References:193
Senior Researcher
Candidate of physico-mathematical sciences (1979)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 2.06.1948
Website: https://INSTMATH.SCI.AM
Keywords: C*-algebras, Banach Algebras, Representations, Partition Function, Cluster Expansions.

Subject:

Operator Algebras Noncommutative Uniform Algebras Statistical Physics

   
Main publications:
  1. V. A. Arzumanian, A. M. Vershik, “Factor representations of the crossed product of a commutative $C^*$-Algebra with an endomorphism semigroup”, Soviet Math. Doklady, 19:1 (1978)
  2. V. A. Arzumanian, A. M. Vershik, “Star algebras, associated with endomorphisms”, Operator Algebras and Group Representations, Proc. Int. Conf., vol. 1 (Neptun, Romania, 1980), Monogr. Stud. Math., 17, 1984, 17–27  mathscinet  zmath
  3. V. Arzumanian, S. Grigorian, “Noncommutative uniform algebras”, Advances and Applications, 43, Birkhäuser Verlag, Basel, 1990, 101–109  mathscinet
  4. V. A. Arzumanian, B. S. Nahapetian, and S. K. Poghosian, “Classical lattice spin systems with vacuum”, Acta Applicandae Mathematicae, 22 (1991), 33–53  mathscinet
  5. V. A. Arzumanian, “Operator algebras associated with polymorphisms”, J. Math. Sci. (N. Y.), 140:3 (2007), 354–356  crossref  mathscinet

https://www.mathnet.ru/eng/person25990
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/199836

Publications in Math-Net.Ru Citations
2015
1. V. Arzumanian, S. Grigoryan, “Group-graded systems and algebras”, Zap. Nauchn. Sem. POMI, 437 (2015),  5–14  mathnet  mathscinet; J. Math. Sci. (N. Y.), 216:1 (2016), 1–7  scopus 1
2005
2. V. A. Arzumanian, “Operator algebras associated with polymorphisms”, Zap. Nauchn. Sem. POMI, 326 (2005),  23–27  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:3 (2007), 354–356  scopus 2
1991
3. V. A. Arzumanian, B. S. Nakhapetian, S. K. Pogosyan, “Local limit theorem for the particle number in spin lattice systems”, TMF, 89:2 (1991),  178–189  mathnet  mathscinet; Theoret. and Math. Phys., 89:2 (1991), 1138–1146  isi 2
1989
4. V. A. Arzumanian, B. S. Nakhapetian, S. K. Pogosyan, “Asymptotic expansion of the logarithm of the partition function in spin lattice systems that possess a vacuum”, TMF, 81:2 (1989),  175–184  mathnet  mathscinet; Theoret. and Math. Phys., 81:1 (1989), 1134–1141  isi 2
1986
5. V. A. Arzumanian, B. S. Nakhapetian, S. K. Pogosyan, “Cluster properties of classical lattice spin systems with vacuum”, TMF, 67:1 (1986),  21–31  mathnet  mathscinet; Theoret. and Math. Phys., 67:1 (1986), 331–339  isi 3
1983
6. V. A. Arzumanian, S. A. Grigoryan, “Uniform algebras of operator fields”, Zap. Nauchn. Sem. LOMI, 123 (1983),  185–189  mathnet  mathscinet  zmath
1978
7. V. A. Arzumanian, A. M. Vershik, “Factor representations of the crossed product of a commutative $C^*$-algebra and a semigroup of its endomorphisms”, Dokl. Akad. Nauk SSSR, 238:3 (1978),  513–516  mathnet  mathscinet  zmath 6

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