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 Jul2 awarded Curious May30 awarded Yearling Jan28 awarded Notable Question Jul31 awarded Popular Question Jul5 awarded Nice Question Jul9 awarded Nice Question Apr25 awarded Popular Question Jan5 awarded Yearling Apr4 accepted Form of the inner product in $\ l_2$ Mar31 comment Sequence of subspaces of $\ [ 0,2{\pi} ]$ with length that goes to $\ 0$ @Alexander Thumm Or i can use the final answer without $\ 2^n$ but just $\ n$ in the denominator.In this way the division of $\ [0,2 {\pi} ]$ is more smooth. Mar25 comment Sequence of subspaces of $\ [ 0,2{\pi} ]$ with length that goes to $\ 0$ Thank you for your time Mar25 accepted Sequence of subspaces of $\ [ 0,2{\pi} ]$ with length that goes to $\ 0$ Mar25 comment Sequence of subspaces of $\ [ 0,2{\pi} ]$ with length that goes to $\ 0$ @Alexander Thumm I edited the question because it was not going to solve my problem(see comments under my question).My mistake Mar25 revised Sequence of subspaces of $\ [ 0,2{\pi} ]$ with length that goes to $\ 0$ added 67 characters in body Mar25 comment Sequence of subspaces of $\ [ 0,2{\pi} ]$ with length that goes to $\ 0$ For each x it is a sequence of numbers so the usual topology of R.I ws thinking F_n be everywhere 0 exept an interval of lenght that goes to 0 where say f_n =1.But i need at every x an oscillation between 0 and 1.That's why i need this sequence. Mar25 comment Sequence of subspaces of $\ [ 0,2{\pi} ]$ with length that goes to $\ 0$ I think it can solve a problem of Stein,Fourier analysis(a collegue of mine thought it is a nice problem and gave it me-but i dont know fourier analysis!).So with elementary knowledge i was trying to find a sequence of functions that the integral of their squares tend to 0 but the f_n(x) does not converge at no x. Mar25 asked Sequence of subspaces of $\ [ 0,2{\pi} ]$ with length that goes to $\ 0$ Mar15 comment The number of symmetric polynomials of n degree many thanks for your time. Mar15 accepted The number of symmetric polynomials of n degree Mar14 asked Solutions to Alan Hatcher's “Algebraic Topology”