Timeline for Maximally fine topologies on $B(H)$ making the unit ball compact
Current License: CC BY-SA 4.0
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| Mar 12, 2023 at 16:28 | comment | added | terceira | I should correct a mistake in the above comment. The following topologies on the space of operators coincide: 1. the finest locally (or even linear) topology which agrees with either of the two weak ones on the unit ball; 2. the finest topology which agrees with them on the dilations of the ball. | |
| Mar 8, 2023 at 11:16 | comment | added | terceira | Perhaps the finest topology on the whole space which agrees with the weak or ultraweak one on the ball (or the finest l.c. topology which is the same). It has the same dual as the ultraweak topology (the nuclear operators) and has the advantage that it is complete. It can also be described as the topology of uniform convergence on the compact subsets of the latter. | |
| Mar 8, 2023 at 10:32 | history | asked | Aareyan Manzoor | CC BY-SA 4.0 |