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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
4
votes
Accepted
A notion of restricted injectivity for Banach spaces
Those spaces have been called extensible (and its variations UFO, automorphic) in papers of Moreno-Plichko [On automorphic Banach spaces, Israel J. Math. 169 (2009) 29-45; or Castillo-Ferenczi-Moreno …
2
votes
Compact restrictions of the inclusion of $J:L_\infty(0,1)\to L_1(0,1)$
Every operator $\ell_\infty\to\text{separable}$ is weakly compact, thus, its restriction to an isomorphic predual of $\ell_1(I)$ is compact. And such nonseparable things exist in $\ell_\infty$: say, t …