What is a Hilbert Space? | Quantum Mechanics
An informal, non-rigorous, but (hopefully) intuitive look at what a Hilbert space is. Essentially, it is a complete, normed, inner product space, as opposed to a Banach space, which is a complete, normed, linear (vector) space. What does all this mean? Watch the video to find out!
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References and Resources
Video series on topology and manifolds by XylyXylyX
• What is a Manifold?
A Brief Introduction to Hilbert Space and Quantum Logic
https://www.whitman.edu/Documents/Aca...
Hilbert Space and Quantum Mechanics
https://quantum.phys.cmu.edu/QCQI/qit...
Lebesgue Measure and L2 Space
http://www.math.uchicago.edu/~may/VIG...
Metric and Normed Spaces
https://www.math.ucdavis.edu/~hunter/...
A Brief Guide to Metrics, Norms, and Inner Products
http://people.math.gatech.edu/~heil/b...