Lecture 13: Lp Space Theory

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MIT 18.102 Introduction to Functional Analysis, Spring 2021
Instructor: Dr. Casey Rodriguez

We introduce L^p spaces and the corresponding L^p norms, which are essentially the completion of the normed space of continuous functions under the L^p norm (see the exercises). We then move on to our third unit of the course: Hilbert space theory.

License: Creative Commons BY-NC-SA

  1. MIT OpenCourseWare
  2. Holder’s inequality
  3. L^p norm
  4. L^p spaces
  5. Minkowski inequality
  6. inner product
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Комментарии
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Thank you for the really clean and clear lectures. It seems that a large amount of effort was put into them.

fierydino
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I'm a grad student in math and I can tell you. I dislike the whole (integral (f^p))^1/p

Where does this logic come from. Like, let me do (f^p)^1/p then it would all cancel out and be pointless. Like who thought of this clunky notation and set-up?

Like, it feels not elegant.

erockbrox
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Automated motion-tracking is a solution searching a problem. :/

yopenzo