Tuesday, February 12, 2013

(before) the siege: battle without honor or humility.

// initially written: 11 feb 2013 @ 13:20
so today i tried to build a completely new Baηach space ..

.. in the sense that i've never seen anything like it before anywhere else, and that one would be slightly crazy even to consider building it.
it all started when i wanted a certain sequence of functions to converge ..

.. and they do! (but not in a very strong sense) ..

but then i realised that all i needed was that their images under this certain linear operator converge ..

.. so "all i had to do" [1] was weaken the mode of continuity of the operator ..
.. which probably requires weakening the topology of the source space ..
.. so i might as well build a whole new space, right?
now i'm thumbing through rudin's book as well as dunford-schwartz, volume 1 [2].

you know, this was supposed to be a nice, relaxing day of computation ..

[1] famous last words, if i've ever heard any ..

[2] upon re-reading that, my mind pronounced it similarly to "kill bill, volume 1." suddenly, this old line comes to mind:

Ο-Ren Ishιi: You didn't think it was gonna be that easy, did you?
The Brιde: You know, for a second there, yeah, I kinda did.

in all honesty, though: i find vol.2 more aethestically pleasing than vol.1 ..!

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