The Unapologetic Mathematician

Mathematics for the interested outsider

Pointwise Convergence

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September 2, 2008 - Posted by | Analysis, Calculus, Functional Analysis

3 Comments »

  1. […] got a problem with the topology of pointwise convergence. The subspace of continuous functions isn’t closed. What does that mean? It means that if we […]

    Pingback by The Problem With Pointwise Convergence « The Unapologetic Mathematician | September 4, 2008 | Reply

  2. […] we restrict to those points where it converges, we get a function. That is the series of functions converges pointwise to a limiting function. What’s great is that for any compact set contained within the radius […]

    Pingback by Uniform Convergence of Power Series « The Unapologetic Mathematician | September 10, 2008 | Reply

  3. […] we can talk about pointwise convergence of a sequence of measurable functions. That is, for a fixed point we have the sequence which has […]

    Pingback by Sequences of Measurable Functions « The Unapologetic Mathematician | May 10, 2010 | Reply


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