Timeline for Mackey topology characterising property
Current License: CC BY-SA 4.0
8 events
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Nov 16, 2018 at 13:10 | comment | added | user120487 | This seems to be correct by the usual (and trivial, sorry) argument of taking $f:= id: V_{\sigma} \rightarrow V_{\tau}$ and the symmetric variant of it. | |
Nov 16, 2018 at 12:27 | comment | added | Jochen Wengenroth | If the Mackey topology were the initial topology w.r.t. $V'$ it would be equal to the weak topology which (in many case, e.g., for infinite dimensional Banach spaces) is not the case. | |
Nov 16, 2018 at 11:56 | history | edited | user120487 | CC BY-SA 4.0 |
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Nov 16, 2018 at 11:55 | comment | added | user120487 | Thank you for your answer. I will edit my question: is the Mackey topology initial w.r.t. V' (in the above sense)? | |
Nov 16, 2018 at 8:10 | history | edited | Jochen Wengenroth |
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Nov 16, 2018 at 8:05 | comment | added | Jochen Wengenroth | Every topology $T$ on a set $X$ is initial, e.g. w.r.t. the identity $X \to (X,T)$. It is thus not clear what you are asking for. | |
Nov 15, 2018 at 21:00 | review | First posts | |||
Nov 15, 2018 at 21:03 | |||||
Nov 15, 2018 at 19:07 | history | asked | user120487 | CC BY-SA 4.0 |