Let S be a linear subspace in C[0,1] & S is closed in L^2[0,1] Show
1. S is closed in C[0,1]
2. Show there is a constant M such that for all f in S
(norm f)2 <= (norm f) infinite <= M (norm f )2
2007-03-11 06:41:59 · 3 answers · asked by kukur_diamond 1 in Science & Mathematics ➔ Mathematics
I am not going to solve your homework problems. But I know of a Chinese grad student who wrote a book of all the answers to all of Rudin's questions. Search for his book.
2007-03-11 07:34:58 · answer #1 · answered by JustTheD 2 · 0⤊ 0⤋
a million) particular. you ought to continuously initiate with the unique sphere S and dissect it into 2 same spheres S0 and S1. Now do a similar element with S0 to get S00 and S01 and likewise with S1 to get S10 and S11. for the reason that all of those have been created from dissecting into finitely many products and all of those products are products of the unique sphere S, this actual dissection is finite and it makes S same to 4 spheres.
2016-11-24 20:31:14 · answer #2 · answered by ? 4 · 0⤊ 0⤋
Welcome Mr. Anderson, you have uncovered the true nature of the Matrix; you shall now siese to exist.
2007-03-11 06:48:24 · answer #3 · answered by Anonymous · 0⤊ 0⤋