We provide three new examples of twisted Hilbert spaces by considering properties that are "close" to Hilbert. denote them \(Z(\mathcal J)\), S^2)\) and T_s^2)\). The first space is asymptotically Hilbertian but not weak On the opposite side, T_s^2)\) Hilbertian. Moreover, a HAPpy technique prove it gives "twisted" version theorem Johnson Szankowski (Ann. Math. 176:1987-2001, 2012). This is, we...

A Hilbert point in H p ( <mml:mi mathvaria...

Paul Garrett [email protected] http://www.math.umn.edu/ g̃arrett/ [This document is http://www.math.umn.edu/ ̃garrett/m/fun/notes 2012-13/05 banach.pdf] 1. Basic definitions 2. Riesz’ Lemma 3. Counter-example: non-existence of norm-minimizing element 4. Normed spaces of continuous linear maps 5. Dual spaces of normed spaces 6. Banach-Steinhaus/uniform-boundedness theorem 7. Open mapping theore...