(METU CV)
Background
- Habilitation in Mathematics, Institute of Mathematics and Mechanics NAS Azerbaijan, 2012 (Leading organization: Moscow State University, Russia)
- PhD. Institute of Mathematics and Mechanics, Azerbaijan Academy of Sciences, 1998.
- MSc. Baku State University, 1995.
- BSc. Novosibirsk University, 1993.
(more detail)
Research Interests
- Noncommutative algebraic geometry; Functional analysis, Noncommutative analysis; Banach and topological algebras; Multivariable operator theory; Quantum functional analysis
Contact Information
- Office:
- Phone: +90 392 661
- e-mail:
metu.edu.tr
(full publication list)
Selected Publications/Preprints
- Noncommutative holomorphic functional calculus, affine and projective spaces from NC-complete algebras, St. Petersburg Math J. 31:4 (2019), 48--113.
- Quantum system structures of quantum spaces and entanglement breaking maps, Sbornik Math. 210 (7) (2019) 21-93.
- Operator Hilbert systems, Funct. Anal. Appl. 53 (2) (2019) 79--86.
- Multinormed semifinite von Neumann algebras, unbounded operators and conditional expectations, J. Math. Anal. Appl. 466 (2018) 573-608.
- Noncommutative localizatıons of Lie-complete rings, Communications in Algebra 44 (2016) 4892--4944.
- Noncommutative affine spaces and Lie-complete rings, C. R. Acad. Sci. Paris, Ser I, 353 (2015) 149-153.
- Functional calculus on noetherian schemes, C. R. Acad. Sci. Paris, Ser I, 353 (2015) 57-61.
- Injectivity in the quantum space framework, Operators and matrices, 8 (4) (2014) 1013--1039.
- A representation theorem for quantum systems. Funct. Anal. and its Appl. 47(3) (2013) 241-245.
- Quantum cones and their duality. Houston J. Math. 39(3) (2013) 853-887.
- Multinormed W∗-algebras and unbounded operators. Proc. Amer. Math. Soc. 140 (2012) 4187-4202.
- Bipolar theorem for quantum cones. Funct. Anal. and its Appl., 46 (3) (2012) 228-231.
- Quantum systems and representation theorem. Positivity 17(3) (2013) 841-861.
- Noncommutative Mackey theorem. International J. Math. 22 (4) (2011) 535-544.
- Local operator algebras, fractional positivity and quantum moment problems. Trans. AMS, 363 (2) (2011) 801-856.
- Quantum duality, unbounded operators, and inductive limits. J. Math. Phys. 51 (2010), no. 6.
- Taylor spectrum and transversality for a Heisenberg algebra of operators. Matem. Sbornik, 201 (3) (2010) 39-62.
- Taylor functional calculus for supernilpotent Lie algebra of operators. J. Operator Theory 63 (2010), no. 1, 191-216.
- Local left invertibility for operator tuples and noncommutative localizations. J. K-Theory 4 (2009), no. 1, 163-191.
- Fréchet sheaves and Taylor spectrum for supernilpotent Lie algebras of operators. Mediterr. J. Math. 6 (2009), no. 2, 181-201.
- Local operator spaces, unbounded operators and multinormed C algebras. J. Funct. Anal., 255 (7) (2008) 1724-1760.
- Regularities in noncommutative Banach algebras. Integ. Eq. Operator Th., 61 (3) (2008) 341-364.
- A representation theorem for local operator spaces. Funct. Anal. and its Appl., 41 (4) (2007) 306-310.
- Quantized moment problem. Comptes Rendus Mathematique 344 (10) (2007) 627 630.
- Quasispectra of solvable Lie algebra homomorphisms into Banach algebras, Stud. Math. 174 (1) (2006) 13-27.
- Cartan-Slodkowski spectra, splitting elements and noncommutative spectral mapping theorems. J. Funct. Anal., 230 (2) (2006) 446-493.