Thread: Banach space with infinite vector space basis?

Dear MHF members,

I am facing with the following problem.
How can we prove that a Banach space cannot have countably infinite vector space basis?

Thanks.
bkarpuz

See PlanetMath: Banach spaces of infinite dimension do not have a countable Hamel basis.

Thank you Professor Opalg.
My next question is on the way.