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Results tagged with fa.functional-analysis
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user 489909
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
2
votes
Whether a functional which preserves maximum for comonotone functions is monotone?
I have a partial answer: it follows from results of arXiv:2208.07152 that a normed homogeneuos respect any t-norm functional which preserves max for comonotone functions is monotone. But the general q …
- 61
4
votes
1
answer
137
views
Whether a functional which preserves maximum for comonotone functions is monotone?
Let $X$ be a compactum (compact Hausdorff space). By $C(X,[0,1])$ we denote the space of continuous functions endowed with the sup-norm We also consider the natural lattice operations $\vee$ and $\ …
- 61