Timeline for Topological vector spaces in direct sum
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 3, 2023 at 5:50 | comment | added | user473423 | With additional conditions, I guess yes. I think for spaces with Schauder basis it might work. | |
| Apr 3, 2023 at 1:45 | comment | added | Michael_1812 | will this argument work for a general-type TVS or for a separable inf-dim Hilbert space only? Thank you! | |
| Feb 3, 2023 at 8:35 | comment | added | user473423 | Same argument works. Instead of one vector not in the union, choose finitely many so that you can install an irreducible representation of G on their span. | |
| Feb 2, 2023 at 18:19 | comment | added | Michael_1812 | Dear Echo, many thanks. Regarding my 2nd question: if G is a Lie group, will the answer be positive only for separable infinite-dim Hilbert spaces or for a general-type TVS? Could you please suggest a proof or, if it is too long, provide a reference? Thanks again! | |
| Feb 2, 2023 at 6:18 | history | edited | user473423 | CC BY-SA 4.0 |
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| Feb 2, 2023 at 5:07 | history | answered | user473423 | CC BY-SA 4.0 |