author = "Gutman A.E. and Lisovskaya S.A.",

title = "The boundedness principle for lattice-normed spaces",

journal = "Sib. Math. J.",

year = "2009",

volume = "50",

number = "5",

pages = "830--837",

doi = "10.1007/s11202-009-0093-5",

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.",

keywords = "Banach--Steinhaus theorem, Banach--Kantorovich space, cyclically compact set, Boolean valued analysis"