28 дек. 2017 г. · I think I have an intuitive idea that weak and strong relate generality with strong theories being more general and catch all. So this sometimes ...

29 мая 2014 г. · So the weak topology τw is stronger than the strong (norm) topology τs. Therefore τw=τs.

9 дек. 2015 г. · One motivation of "weak" is, that "strong" convergence implies "weak" convergence. Hence, the "weak" convergence is a weaker convergence than "strong" ...

31 июл. 2018 г. · The weak topology is strictly coarser than the strong topology; ie, there exist open sets in the strong topology that are not open in the weak topology.

3 февр. 2016 г. · In general, an open ball for the norm topology in an infinite-dimensional Banach space has empty weak interior.

21 апр. 2023 г. · Using this procedure, we can define the weak and strong operator topology on B(H), the C∗-algebra of all bounded linear operators on the ...

7 окт. 2013 г. · One may check that: No sub-basic open set in the strong operator topology is an open set in the weak operator topology.

10 июн. 2013 г. · Is there a simple example to show that the weak and strong topology on an infinite-dimensional space do not need to coincide? I have several ...

16 апр. 2018 г. · I'm working on the following problem: Let X be a finite dimensional linear space. Show that the weak and strong topologies on X are the same.