The theory of M-ideals and multiplier mappings of Banach spaces naturally generalizes to left (or right) M-ideals and multiplier mappings of operator spaces. These subspaces and mappings are intrinsically characterized in terms of the matrix norms. In turn this is used to prove that the algebra of left adjointable mappings of a dual operator space X is a von Neumann algebra. If in addition X is...

The graph scheme developed in 1 is further investigated. The structure of the coefficients aais determined in terms of a0 and the projections of the splitting graphs. This allows a formal sum­ mation of the /c-series. The first few terms of the strong coupling series for the lowest mass eigen­ value are computed for the X <}r4 theory. The leading term for large /. is complex. This restricts phy...

The theory of M-ideals and multiplier mappings of Banach spaces naturally generalizes to left (or right) M-ideals and multiplier mappings of operator spaces. These subspaces and mappings are intrinsically characterized in terms of the matrix norms. In turn this is used to prove that the algebra of left adjointable mappings of a dual operator space X is a von Neumann algebra. If in addition X is...

In this report, we present a number-theory-based approach for discrete tomography (DT),which is based on parallel projections of rational slopes. Using a well-controlled geometry of X-ray beams, we obtain a system of linear equations with integer coefficients. Assuming that the range of pixel values is a(i, j) = 0, 1, . . . , M − 1, with M being a prime number, we reduce the equations modulo M ...

We have experimentally observed the emergence of spontaneous antiferromagnetic spatial order in a sodium spinor Bose-Einstein condensate that was quenched through a magnetic phase transition. For negative values of the quadratic Zeeman shift, a gas initially prepared in the F=1, m(F)=0 state collapsed into a dynamically evolving superposition of all three spin projections, m(F)=0, ±1. The quenc...

We prove that the laws of diiusion processes M on E associated with Dirichlet forms of type E(u; v) = R E hA(z)ru(z); rv(z)i H (dz), where H, E are separable Hilbert spaces, are the weak limits of laws of nite dimensional diiusions. These are associated with the image Dirichlet forms obtained from E under projections from E onto nite dimensional subspaces in H. As a by-product we obtain Hoelder...