Jtdylktuy

up vote 0 down vote favorite recently I added a secondary WD Blue 320GB HDD to my system to accompany my Seagate 320GB drive. After I added the WD drive to my system I can no longer boot into windows, I just get stuck on the black loading screen with the Windows logo and the white spinny dots. If I unplug the secondardy WD drive it works flawlessly. Have Tried: Different SATA ports on MOBO Accessing the recovery menu after 3 failed boots, but if I click anything the screen goes black. Removing CMOS Battery PC Specs: CPU: C2Q Q6600 GPU: GT 710 RAM: 4GB DDR2 MOBO: GIGABYTE GA-G31M-ES2C (REV 1.0) HDD 1: Seagate Momentus Thin 320GB 7200RPM HDD 2: WD Blue 320GB 7200RPM windows-10 hard-drive boot share | improve thi

up vote 0 down vote favorite Let $(X,mathcal{F},mu)$ be a $sigma$ -finite measure space. Prove that if $I: L^p(mu) to mathbb{R}$ is a continuous linear functional then there exists $I^+$ , $I^-$ continuous positive linear functionals such that $I=I^+ + I^-$ . I know the proof for the case that $I$ is a bounded linear functional. We define $I^+(f):=sup{I(g) : g in L^p, 0leq g leq f}$ and $I^-=I^+ - I$ and prove the statement. But in this case I don't know what to do, and I can't link the proof for the bounded case because, of course, $I^+$ is defined with a supremum, which just make sense if we assume boundness of $I$ ... and I don't think that's a way to fix it. My attempt was based on: try to define a continuous $I^+$ for simple functions and then use the fact that given $fin L^p$ exist a sequen