A. E. Gutman, A. V. Koptev, “Continuous-discrete sections of bundles of Banach lattices”, Vladikavkaz. Mat. Zh., 2013, Volume 15, Number 4,Pages <nobr>14

Continuous-discrete sections of bundles of Banach lattices

A. E. Gutman^ab, A. V. Koptev^b

^a Novosibirsk State University, Novosibirsk, Russia
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: The notion of a continuous bundle of Banach lattices is clarified and the order properties are studied of the space of $CD_0$-sections of such a bundle.

Key words: continuous Banach bundle, Banach lattice, bundle of Banach lattices, $CD_0$-section of a Banach bundle, Alexandroff duplicate.

UDC: 517.98

Received: 19.11.2013