Timeline for Factorization of linear bounded operators in Banach spaces
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 24, 2015 at 15:12 | comment | added | Aurelian Gheondea | Thanks. I also assign it as an exercise when I teach functional analysis but now I review a manuscript and since the authors prove this as a theorem I want to indicate in a more consistent way that it is something well known. Probably I have just to say that it's a folklore statement and nobody can claim originality for it. | |
| Oct 24, 2015 at 15:00 | comment | added | Bill Johnson | It is a standard exercise in functional analysis courses that an operator $A$ on $X$ induces an operator on $X/Z$ iff $AZ\subset Z$. Since your statement is an immediate consequence of this via the open mapping theorem, it is not that surprising that I have not seen the statement in books. OTOH, I like your formulation better because it forces students to make the connection to the open mapping theorem. | |
| Oct 24, 2015 at 13:08 | history | edited | Stefan Kohl♦ |
Added tag "reference-request".
|
|
| Oct 24, 2015 at 13:06 | review | First posts | |||
| Oct 24, 2015 at 13:08 | |||||
| Oct 24, 2015 at 13:02 | history | asked | Aurelian Gheondea | CC BY-SA 3.0 |