Timeline for General theory for p-normed spaces
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 17, 2011 at 11:22 | vote | accept | shuhalo | ||
| Mar 17, 2011 at 4:13 | comment | added | Dmitri Pavlov | @Bill Johnson: Complex interpolation is one possible way to define L^p-spaces for arbitrary von Neumann algebras, but certainly not the only way. In fact, complex interpolation seems to define L^p-spaces only for 1/p∈[0,1], which leaves out a very important case of imaginary L^p spaces (1/p is imaginary), necessary for Tomita-Takesaki theory. | |
| Mar 16, 2011 at 16:42 | comment | added | Bill Johnson | The Pisier-Xu article includes a unified approach via complex interpolation. This abstract approach seems to be needed to study noncommutative $L_p$ spaces associated with certain kinds of von Neumann algebras. | |
| Mar 16, 2011 at 15:52 | history | answered | Mark Meckes | CC BY-SA 2.5 |