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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

1 vote
0 answers
1k views

Convergence of the integral of step functions

This is a question about the proof of Lemma A in §16 of the book Functional Analysis by F. Riesz and B. Sz.-Nagy. Lemma A: For every sequence of step functions $\{\varphi_n\}$ which decreases to z …
Guido Kanschat's user avatar
2 votes

Dependence of the constant in Korn's inequality on the domain

I have not worked out the details, but this may be a way to find an answer: The kernel of your operator $\mathcal E$ consists of rigid body motions, namely translations, reflexions and rotations. Thi …
Guido Kanschat's user avatar