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1d
answered Closure of linear subspace in Topological vector space
1d
answered Is the following series convergent $\sum_{n=1}^{\infty}\dfrac{2^n+3^n}{3^n+4^n}$
1d
revised Maximal monotone operator without convex domain?
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1d
asked When is the normal cone to a closed convex set in a locally convex set maximal monotone?
1d
answered Maximal monotone operator without convex domain?
2d
awarded  Promoter
Oct
13
comment Existence of a Frechet topology on the dual of a barreled space
So it seems that if the space is metrizable then it should be normable and we get a positive answer. However, that answers only partially my original questions. Thank you anyways.
Oct
13
comment Existence of a Frechet topology on the dual of a barreled space
I want to see if I understood your answer completely. First, if $(X,\tau)$ is Frechet but not normable (or Banach) then the answer is negative. So, it seems that completeness is in the way since for a normed barreled space the answer is positive. What is your opinion about that? For the second part, what topology did you take on the dual to make it Frechet? Please include some references. Thank you.
Oct
13
revised Existence of a Frechet topology on the dual of a barreled space
edited tags
Oct
13
comment Differential calculus on locally convex spaces
When the spaces $V,W$ are infinite dimensional and $Z$ is the real set there are several types of smoothness such as Gateaux, Frechet, etc. If $Z$ is infinite dimensional it is hard to define smoothness. So what do you mean by smooth?
Oct
13
comment Evaluation map is not continuous always.
One answer: if the space E is reflexive then your application is strongly $\times$ $\tau_M^*$ continuous, where $\tau_M^*$ is the Mackey topology on $E'$ with respect to the duality $(E,E')$.
Oct
12
comment Evaluation map is not continuous always.
What topology do you consider on $E'$? Is $E'$ the topological dual?
Oct
12
asked Existence of a Frechet topology on the dual of a barreled space
Jan
17
awarded  Revival
Dec
3
comment Closure of interior and interior of closure in a topological vector space
Holmes, Richard B. Geometric functional analysis and its applications. Graduate Texts in Mathematics, No. 24. Springer-Verlag, New York-Heidelberg, 1975. x+246 pp.
Dec
3
answered Closure of interior and interior of closure in a topological vector space
Nov
16
comment Non-barreled topology compatible with the duality
Thank you for the new argument.
Nov
15
answered Non-barreled topology compatible with the duality
Nov
14
revised Non-barreled topology compatible with the duality
added 11 characters in body
Nov
14
asked Non-barreled topology compatible with the duality