The boundedness principle for lattice-normed spaces |
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| Authors: | A E Gutman S A Lisovskaya |
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| Institution: | 1. Sobolev Institute of Mathematics, Novosibirsk, Russia
2. Novosibirsk State University, Novosibirsk, Russia
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| Abstract: | The 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, the analogs of the theorems are proven in a lattice-normed space setting. |
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