Language:
EN
| Published:
18-06-2024
|
Abstract
| pp. 42-45
We give a proof of the uniform boundedness principle for linear continuous maps from F-spaces into topological vector spaces which is elementary and also quite simple.
Language:
EN
| Published:
18-12-2018
|
Abstract
| pp. 57-62
Let E be a separable real inner product space of dimension at least 2 and V be a metrizable and separable linear topological space. We show that the set of all orthogonally additive functions mapping E into V and having big graphs is dense in the space of all orthogonally additive functions from E into V with the Tychonoff topology.
Language:
EN
| Published:
30-09-2011
|
Abstract
| pp. 45-48
We provide the form of all continuous involutions f of a locally convex linear topological space X such that H∩f(H) = Ø for any basis H of the vector space X over the rationals.
2011-09-30
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English