I was hoping you guys could help me in understanding some vector spaces of infinite dimension. My professor briefloy touched n them (class on linear algebra), but moved on rather quickly since they are not our primary focus.(adsbygoogle = window.adsbygoogle || []).push({});

He gave me the example of the closed unit interval where f(x) is continuous over I. From my studies in analysis, I understand how there exists an infinite amount of points within the interval, and am having trouble on connecting this fact to the dimension of the space.

Can anyone offer me a more complete explanation on this? I'd also love to hear some other infinite dimension spaces and their prospective applications. I don't like only grasping things of R^n ;).

Thanks so much!

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# Vector Spaces of Infinite Dimension

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