Mass und Integral - Martin Schweizer - 2017

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Giulia, 23.08.2017, 9:15-9:30

Professor Schweizer asked me if it was okay to start 5 mins earlier so I went in at 9:10. He started asking me very generally what I could tell about linear forms. After saying the first properties, I couldn't remember the exact definition of \(\tau\)-continuity so he decided to move on and asked me an example of linear form. We started talking about J(f)=\(\int f\,\mathbb{d}\mu \) and if I could remember any theorem about convergent linear form (I guess he was thinking about Theorem 1.7 and so on). Then he decided to change argument and he started asking me in which cases we can say that an integral is zero (f=0 \(\mu\) -a.e.) , definition of \(\mu\) -a.e, proof of f=0 \(\mu\) -a.e. => \(\int f\,\mathbb{d}\mu \)=0 (first for step functions, then for general measurable functions).

The assistent didn't say a word, Prof. Schweizer is very calm, he tries to help out in the reasonings and had no problem in changing argument when he saw I really didn't know some answers.