@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." }