3 1 A ug 2 00 7 2 - gerbes and 2 - Tate spaces

ar X iv : h ep - t h / 04 08 12 5 v 1 1 7 A ug 2 00 4 Field theoretic models on covariant quantum spaces

h / 04 08 12 5 v 2 2 7 A ug 2 00 4 Field theoretic models on covariant quantum spaces

. FA ] 1 A ug 2 00 7 BANACH SPACES WITH POLYNOMIAL NUMERICAL INDEX 1

We characterize Banach spaces with polynomial numerical index 1 when they have the Radon-Nikod´ym property. The holomorphic numerical index is introduced and the characterization of the Banach space with holomorphic numerical index 1 is obtained when it has the Radon-Nikod´ym property.

m at h . FA ] 1 8 A ug 2 00 3 Applications of operator spaces to abstract harmonic analysis

We give a survey of how the relatively young theory of operator spaces has led to a deeper understanding of the Fourier algebra of a locally compact group (and of related algebras).

ar X iv : h ep - t h / 01 08 06 7 v 1 1 0 A ug 2 00 1 Why 3 + 1 metric rather than 4 + 0 or 2 + 2 ?

Why does the physical 4-dimensional space have a 3 + 1 signature rather than a 4 + 0 or a 2 + 2 for its metric? We give a simple explanation based largely on a group-theoretic argument a la Wigner. Applied to flat spaces of higher dimensions the same approach indicates that metrics with more than one time dimension are physically unacceptable because the corresponding irreducible unitary repres...