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Determine if an integral expression is in $L^2(\mathbb{R})$

Note: This is a simplified version of the following question. I did not get a full response and realized can make it simpler to have my main interrogation answered. I decided to write it as a ...
Gateau au fromage's user avatar
12 votes
1 answer
184 views

Spectra on different spaces

This is a method request: I am looking for techniques that allow me to investigate problems like this: Let $T_1: \ell^1 \rightarrow \ell^1$ be a bounded operator with $\Re(\sigma(T_1)) \subset (-\...
Kinzlin's user avatar
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