Noncommutative geometry, multivariable spectral theory, operator algebras, quantum information theory
Biography
B.S. Mathematics 1993, Dept. of Pure Mathematics, Novosibirsk State University, Russia;
M.S. Mathematics, 1995, Dept. of Mathematics of Baku State University, Azerbaijan;
Ph.D., Mathematics, 1998, Baku State University, Baku, Azerbaijan;
Assistant Professor (Research Fellow) Institute of Mathematics and Mechanics of Azerbaijan Academy of Sciences, Baku (1995–2001) Azerbaijan;
Associate Professor (Senior Research Fellow) Institute of Mathematics and Mechanics of Azerbaijan Academy of Sciences, Baku (2001–2003) Azerbaijan;
Associate Professor Dr., Department of Mathematics, Atilim University, Ankara (2004–2006) Turkey;
Professor Dr. Department of Mathematics, Atilim University, Ankara (2007–2008) Turkey;
Associate Professor Dr., Middle East Technical University NCC, Guzelyurt (2008 - 2023) KKTC, Turkey;
Professor Dr., College of Mathematical Sciences, Harbin Engineering University (2023 - ) China
Main publications:
Dosiev A. A., “Local operator spaces, unbounded operators and multinormed $C^*$-algebras”, Journal of Functional Analysis, 255:7 (2008), 1724–1760
Dosiev A. A., “Regularities in noncommutative Banach algebras”, Integral Equations and Operator Theory, 61:3 (2008), 341–364
Dosiev A. A., “The representation theorem for local operator spaces”, Functional Analysis and its Applications, 41:4 (2007), 306–310
Dosiev A. A., “Quantized moment problem”, Comptes Rendus Mathematique, 344:10 (2007), 627–630
Dosiev A. A., “Cartan-Slodkowski spectra, splitting elements and noncommutative spectral mapping theorems”, Journal of Functional Analysis, 230:2 (2006), 446–493
A. A. Dosi, “Quantum system structures of quantum spaces and entanglement breaking maps”, Mat. Sb., 210:7 (2019), 21–93; Sb. Math., 210:7 (2019), 928–993
A. A. Dosi, “The Taylor spectrum and transversality for a Heisenberg algebra of operators”, Mat. Sb., 201:3 (2010), 39–62; Sb. Math., 201:3 (2010), 355–375
A. A. Dosi, “Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem”, Izv. RAN. Ser. Mat., 73:6 (2009), 77–100; Izv. Math., 73:6 (2009), 1149–1171
A. A. Dosiev, “The Representation Theorem for Local Operator Spaces”, Funktsional. Anal. i Prilozhen., 41:4 (2007), 73–78; Funct. Anal. Appl., 41:4 (2007), 306–310
A. A. Dosiev, “Cohomology of Sheaves of Fréchet Algebras and Spectral Theory”, Funktsional. Anal. i Prilozhen., 39:3 (2005), 76–80; Funct. Anal. Appl., 39:3 (2005), 225–228
A. A. Dosiev, “Homological Dimensions of the Algebra Formed by Entire Functions of Elements of a Nilpotent Lie Algebra”, Funktsional. Anal. i Prilozhen., 37:1 (2003), 73–77; Funct. Anal. Appl., 37:1 (2003), 61–64
A. A. Dosiev, “Algebras of power series of elements of a Lie algebra, and Slodkowski spectra”, Zap. Nauchn. Sem. POMI, 290 (2002), 72–121; J. Math. Sci. (N. Y.), 124:2 (2004), 4886–4908
A. A. Dosiev, “Ultraspectra of a Representation of a Banach Lie Algebra”, Funktsional. Anal. i Prilozhen., 35:3 (2001), 80–84; Funct. Anal. Appl., 35:3 (2001), 226–229
A. A. Dosiev, “Holomorphic Functions of a Basis of a Nilpotent Lie Algebra”, Funktsional. Anal. i Prilozhen., 34:4 (2000), 82–84; Funct. Anal. Appl., 34:4 (2000), 302–304
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