0
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0answers
52 views

Understanding reasons for best constant in inequalities

Why, in functional analysis, is so important to calculate best constant in an embedding inequality? Cross-posted to ...
-1
votes
0answers
15 views

Finding the full text of an older article which is not online; specifically Dvoretzky's “Some results on convex bodies and Banach spaces.”

I am looking for the article in the title (more specifically, for one proof in the article), for which the bibliographic data is MR139079 (25 #2518) 52.30 Dvoretzky, Aryeh Some results on convex ...
0
votes
2answers
127 views

On Reflexive Banach Spaces

My Functional Analysis lecturer gave me a topic for my assignment, the title is "On Reflexive Banach Spaces". I am a looking for several good references to start my work, that is why I brought this ...
14
votes
4answers
358 views

Banach spaces over fields other than $\mathbb{C}$?

Sorry, this is a rather vague question. I was just wondering if there is any kind of theory about normed (if possible Banach) spaces over fields other than the real or complex numbers. I'm guessing ...
9
votes
2answers
691 views

Applications of the Hahn-Banach Theorems

Question: What are some interesting or useful applications of the Hahn-Banach theorem(s)? Motivation: Most of the time, I dislike most of Analysis. During a final examination, a question sparked my ...