The boundedness principle for lattice-normed spaces [in Russian]

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.

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.

Type	Report abstract
Form	Electronic
Authors	Gutman Alexander Efimovich Lisovskaya Svetlana Alexeevna
Title	The boundedness principle for lattice-normed spaces
Book	Contemporary Analysis and Geometry. International Conference (Novosibirsk, September 14–20, 2009): Proceedings
Address	Novosibirsk
Publishers	Institute of Mathematics
Year	2009
Pages	29
Language	Russian
©	2009.09.18
Files	Report abstract (PDF) Abstracts (PDF) Conference program (PDF)
Links	Record in BibTeX format Information on ResearchGate Abstracts on the site (PDF) Program on the conference site (PDF) Conference site
Project	Boolean-valued analysis Development of the theory of Boolean-valued models and their applications in functional analysis