Gutman A.E., Lisovskaya S.A.
The boundedness principle for lattice-normed spaces [in Russian] //
Report abstract. Contemporary Analysis and Geometry. International Conference (Novosibirsk, September 14--20, 2009): Proceedings. Novosibirsk: Institute of Mathematics, 2009. P. 29.
@inproceedings { Gutman20090918,
author = "Gutman A.E. and Lisovskaya S.A.",
howpublished = "Electronic",
title = "The boundedness principle for lattice-normed spaces",
booktitle = "Contemporary Analysis and Geometry. International Conference (Novosibirsk, September 14--20, 2009): Proceedings",
address = "Novosibirsk",
publisher = "Institute of Mathematics",
year = "2009",
pages = "29",
language = "russian",
annote = "Three classical facts of the theory of normed spaces are considered: the boundedness principle, the Banach--Steinhaus theorem, and the uniform boundedness principle for a compact convex set. By means of Boolean valued analysis, exact analogs of the theorems are proven for the case of lattice-normed spaces over a uniformly complete Kantorovich space."
}