Recent content by kevchang

I ran into an infinitely dimensional matrix and wanted to show it is positive definite. I think I cannot do so by checking the principal minors as for finitely dimensional matrices... Can someone let me know how to show its positive definiteness? Thanks a ton!

Dear all, I am interested in solving the following type of system of differential equations for η(x): (1) ∫η(x)ω(x)=0 (2) ∫η'(x)ω(x)=0 for known ω(x), and known limits of the integral. Does this type of equations have a name? Can someone help me to find some reference? Thanks a ton...