Denjoy-Luzin systems and unconditional convergence in Banach spaces

Author: Vakhtang Kvaratskhelia
Co-authors: Vazha Tarieladze
Keywords: Denjoy-Luzin systems, unconditional convergence
Annotation:

The concept of a Denjoy-Luzin system is introduced and a characterization of Denjoy-Luzin systems is given. Some theorems for the almost surely convergence of the series consisting from a Denjoy-Luzin system are proved.

Lecture files:

დანჟუა-ლუზინის სისტემები და უპირობო კრებადობა ბანახის სივრცეში [ka]
Denjoy-Luzin systems and unconditional convergence in Banach spaces [en]