Noncommutative geometry, multivariable spectral theory, operator algebras, quantum information theory
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
