The question is if the sequence (vn) n belong to the natural numbers N whose linear span is the Hilbert space H, then H is finite dimensional. These sorts of proofs always confuse me. Thanks for any help given
Follow Math Help Forum on Facebook and Google+
Originally Posted by superpickleboy The question is if the sequence (vn) n belong to the natural numbers N whose linear span is the Hilbert space H, then H is finite dimensional. These sorts of proofs always confuse me. Thanks for any help given Just use the Baire category theorem, with the sets
Last edited by Jose27; May 10th 2010 at 07:47 PM.
Originally Posted by Jose27 Just use the Baire category theorem, with the sets Never heard of that theorem before. Is there any other approach to it without the use of that theorem ?
View Tag Cloud