ar X iv : 0 80 1 . 17 80 v 1 [ m at h . O C ] 1 1 Ja n 20 08 Alternating minimization and projection methods for nonconvex problems

ar X iv : 0 80 1 . 25 00 v 1 [ co nd - m at . o th er ] 1 6 Ja n 20 08 Making , probing and understanding ultracold Fermi

ar X iv : 0 80 1 . 35 64 v 1 [ as tr o - ph ] 2 3 Ja n 20 08 Local Phase Space - Shaped by Chaos ?

ar X iv : 0 80 1 . 36 64 v 1 [ co nd - m at . m tr l - sc i ] 2 3 Ja n 20 08 Universality behind Basquin ’ s law of fatigue

F. Kun, H. A. Carmona, J. S. Andrade Jr., and H. J. Herrmann Department of Theoretical Physics, University of Debrecen, P. O. Box:5, H-4010 Debrecen, Hungary 2 Computational Physics, IfB, HIF, E12, ETH, Hönggerberg, 8093 Zürich, Switzerland 3 Centro de Ciências e Tecnologia, Universidade Estadual do Ceará, 60740-903 Fortaleza, Ceará, Brazil 4 Departamento de F́ısica, Universidade Federal do Cear...

ar X iv : 0 80 6 . 27 19 v 1 [ m at h . G N ] 1 7 Ju n 20 08 A property of C p [ 0 , 1 ]

We prove that for every finite dimensional compact metric space X there is an open continuous linear surjection from Cp[0, 1] onto Cp(X). The proof makes use of embeddings introduced by Kolmogorov and Sternfeld in connection with Hilbert’s

ar X iv : 0 80 9 . 22 94 v 1 [ m at h . FA ] 1 2 Se p 20 08 ASYMPTOTIC UNCONDITIONALITY

We show that a separable real Banach space embeds almost isometrically in a space Y with a shrinking 1-unconditional basis if and only if limn→∞ ‖x ∗ + x∗ n ‖ = limn→∞ ‖x ∗ − x∗ n ‖ whenever x∗ ∈ X∗, (x∗ n )∞ n=1 is a weak∗-null sequence and both limits exist. If X is reflexive then Y can be assumed reflexive. These results provide the isometric counterparts of recent work of Johnson and Zheng.