Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
26.09.1959
E-mail: , , ,
Keywords: boolean algebras,
theory vector measure,
theory measurable bundles,
dynamical systems,
noncommutative integration,
theory lattice normed spaces.
Subject:
Decomposition of Banach–Kantorovich lattices as a measurable bundles of Banach lattices are given. A representation of Boolean algebras with $L_0(Omega)$ — valued strictly positive measure as measurable bundles of boolean algebras with real valued strictly positive measure is given. A decomposition of non–commutative $L_p(М,Ф)$ space as measurable bundles of $L_p$ spaces assosiated with numerical traces is geven (with Chilin V. I.).
Main publications:
Ganiev I. G., Chilin V. I., “Izmerimye rassloeniya nekommutativnykh $L_p$-prostranstv, assotsiirovannykh s tsentroznachnym sledom”, Matem. trudy, 4:2 (2001), 27–41
Ganiev I. G., “O vektornykh merakh so znacheniyami v prostranstvakh Banakha–Kantorovicha”, Izvestiya VUZov. Matematika, 1999, № 4, 65–67
Ganiev I. G., Kydaybergenov K. K., “Measurable bundles of compact operators”, Methods Funct. Anal. Topology, 7:4 (2001), 1–5
