Timeline for Product of positive commuting operators
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 26, 2011 at 20:58 | comment | added | yurius | Of course, if $V$ is a Hilbert space, then Hellinger-Toeplitz applies | |
| Feb 26, 2011 at 20:57 | comment | added | yurius | yes, I mean inner-product space | |
| Feb 25, 2011 at 20:31 | comment | added | Matthew Daws | Does "unitary space" you mean "inner-product space" (i.e. differs from a Hilbert space by being not complete)? | |
| Feb 25, 2011 at 20:08 | comment | added | András Bátkai | Ups, I made a mistake, of course the product will be selfadjoint, even in the unbounded case. Sorry, sorry. So now I am really lost... Maybe I am a bit slow. | |
| Feb 25, 2011 at 19:55 | comment | added | András Bátkai | I have to confess that I do not completely understand your question. An oprator $A:V\to V$, which is positive, has to be bounded by Hellinger-Toeplitz. If $A$ and $B$ are not everywhere defined, unbounded commuting selfadjoint operators, then the product is still positive, but not necessarily selfadjoint. Is this your question? | |
| Feb 25, 2011 at 15:07 | history | asked | yurius | CC BY-SA 2.5 |