Separated Presheaves of Normed Spaces and -valued Norms
- 1 August 2003
- journal article
- research article
- Published by Taylor & Francis in International Journal of General Systems
- Vol. 32 (4) , 385-414
- https://doi.org/10.1080/0308107031000139987
Abstract
This paper lays down the axioms of Ω-valued normed spaces and shows their invariance under the so-called tilde-construction. Important examples are given by separated presheaves of normed spaces and by probabilistic normed spaces. Finally, there exists a natural Ω-valued topologization of Ω-valued normed spaces which makes it possible to study continuous linear operators between them.Keywords
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