Timeline for Weak topology on a pre-Hilbert Space
Current License: CC BY-SA 3.0
5 events
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Jun 2, 2015 at 19:06 | comment | added | paul garrett | @weather, but, still, despite the weak dual not being complete, it is quasi-complete, so all is not lost, etc. | |
Mar 4, 2015 at 11:30 | history | edited | Peter Michor | CC BY-SA 3.0 |
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Mar 4, 2015 at 11:23 | history | edited | Peter Michor | CC BY-SA 3.0 |
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Mar 4, 2015 at 10:23 | comment | added | weather | The above answer contains two errors. The two topologies do not have the same bounded sets in general and the finest locally convex topology which agrees on the unit ball with the weak topology is, by definition, the bounded weak topology which, in the case of a Hilbert space, is complete, something which the weak topology is not. | |
Mar 4, 2015 at 10:10 | history | answered | Peter Michor | CC BY-SA 3.0 |