Timeline for Morphisms of Banach spaces
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2011 at 20:03 | comment | added | Yemon Choi | I've seen the term split used for those $f$ for which there exists $g$ satisfying $fgf=f$ (this is used in Weibel's Homological Algebra book for instance) | |
| Feb 24, 2011 at 12:18 | history | edited | Theo Buehler | CC BY-SA 2.5 |
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| Feb 24, 2011 at 12:04 | history | edited | Theo Buehler | CC BY-SA 2.5 |
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| Feb 24, 2011 at 9:05 | comment | added | Steve Lack | the condition that there exist a $g$ with $fgf=f$ and $gfg=g$ is sometimes called regularity, by analogy with von Neumann regular rings. I have also heard such an $f$ called split since, if $f$ is epi then this condition is equivalent to $f$ being split epi, while if $f$ is mono it is equivalent to $f$ being split mono. | |
| Feb 24, 2011 at 8:40 | history | edited | Theo Buehler | CC BY-SA 2.5 |
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| Feb 24, 2011 at 8:34 | history | answered | Theo Buehler | CC BY-SA 2.5 |