A type of oscillation modeled on BMO is introduced to characterize norm compactness in L 1. This result is used to characterize the bounded linear operators from L 1 into a Banach space X that map weakly convergent sequences onto norm convergent sequences (i.e. are Dunford-Pettis). This characterization is used to study the geometry of Banach spaces X with the property that all bounded linear o...

In this paper we analytically study the effects of the lattice discreteness on the electron band in the SSH model. We propose a modified version of the TLM model which is derived from the SSH model using a continuum approximation. When a soliton is induced in the electron-lattice system, the electron scattering states both at the bottom of the valence band and the top of the conduction band are...

In this paper (weakly) separating maps between spaces of bounded continuous functions over a nonarchimedean field K are studied. It is proven that the behaviour of these maps when K is not locally compact is very different from the case of realor complex-valued functions: in general, for Ncompact spaces X and Y , the existence of a (weakly) separating additive map T : C∗(X)→ C∗(Y ) implies that...

We show that for any weakly reflective submanifold of a compact isotropy irreducible Riemannian homogeneous space its inverse image under the parallel transport map is an infinite dimensional PF Hilbert space. This extension author's previous result in case symmetric spaces. also give characterization so obtained submanifolds.

We consider maps of the family of convex bodies in Euclidean ddimensional space into itself that are compatible with certain structures on this family: A Minkowski-endomorphism is a continuous, Minkowski-additive map that commutes with rotations. For d ≥ 3, a representation theorem for such maps is given, showing that they are mixtures of certain prototypes. These prototypes are obtained by app...

broccoli (brassica oleracea l. cv premium crop) florets were packaged using two types of polymeric films (polyethylene, ld & polypropylene cast) and then stored at 1?c for 18 days to study the effect of passive and active map (1.5%o2+7.5%co2) on preservation of quality and nutritional value as compared to non-wrapped control florets. during storage, weight loss, rate of ethylene production, qua...

A branchpoint of a compactum X is a point which is the vertex of a simple triod in X. A surjective map /: X -» Y is said to cover the branchpoints of Y if each branchpoint in Y is the image of some branchpoint in X. If every map in a class % of maps on a class of compacta & covers the branchpoints of its image, then it is said that the branchpoint covering property holds for ff on 0. According ...

Rigshospitalet, University of Copenhagen, Denmark For a quantitative analysis in positron emission tomography (PET) or single-photon emission computed tomography (SPECT), attenuation correction (AC) is mandatory. CTscans or transmission scans are common tools for determination of the attenuation μ-map, but in the case of a PET/MR hybrid system it is difficult to associate one of these scans. Ma...