In this paper we give some necessary and sufficient conditions for which each Banach lattice  is    space and we study some properties of b-weakly compact operators from a Banach lattice  into a Banach space . We show that every weakly compact operator from a Banach lattice  into a Banach space  is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove ...

‎it is well known that every (real or complex) normed linear space $l$ is isometrically embeddable into $c(x)$ for some compact hausdorff space $x$‎. ‎here $x$ is the closed unit ball of $l^*$ (the set of all continuous scalar-valued linear mappings on $l$) endowed with the weak$^*$ topology‎, ‎which is compact by the banach--alaoglu theorem‎. ‎we prove that the compact hausdorff space $x$ can ...

In this paper we study foliations determined by a closed 1-form with Morse singularities on smooth compact manifolds. The problem of the topological structure of the level surfaces of such forms was posed by Novikov in [1], and has been studied in [2]-[5]. In the present article we investigate the problem of the existence of a non-compact leaf, verify a test for non-compactness of a foliation i...

Let I = [a, b] be a real compact interval and f : I → I a continuous function. Define Kc([a, b]) the class of all non empty compact subinterval of [a, b] and let f̄ the natural extension of f to Kc([a, b]), that is to say, f̄(J) = f(J) for all J ∈ I([a, b]). Also, let Fc([a, b]) the class of all fuzzy-intervals with support contained in [a, b] and consider f̂ the Zadeh’s extension of f to Fc([a, b...

Throughout the early and mid 1990s, there was widespread faith in the compact city model's ability to provide urban sustainability. However, where compact city policies had been implemented, follow-up studies began to show the predicted benefits did not happen as they should be. The article tries to peruse two opposite approaches of "Urban Sprawl" and "Compact City", with an analytical - cri...

Let M be a compact Hermitian symmetric space and let W 6= ∅ be a compact complex subvariety of M of codimension p. There exists a nontrivial holomorphic exterior differential system I on M with the property that any compact complex subvariety V ⊂ M of dimension p that satisfies [V ]∩ [W ] = 0 is necessarily an integral variety of I. The system I is almost never involutive. However, its integral...

We prove that, under fairly general conditions, a properly rescaled de-terminantal random point field converges to a generalized Gaussian random process. 1. Introduction and formulation of results. Let E be a locally compact Hausdorff space satisfying the second axiom of countability, B—σ-algebra of Borel subsets and µ a σ-finite measure on (E, B), such that µ(K) < ∞ for any compact K ⊂ E. We d...

We consider the general optimization problem (P ) of selecting a continuous function x over a σ -compact Hausdorff space T to a metric space A, from a feasible region X of such functions, so as to minimize a functional c on X. We require that X consist of a closed equicontinuous family of functions lying in the product (over T ) of compact subsets Yt of A. (An important special case is the opti...

Dagger compact closed categories were studied by Abramsky and Coecke (under the name “strongly compact closed categories”) as an abstract presentation of the category of Hilbert spaces and linear maps, and as a framework in which to carry out the interpretation of quantum protocols. I subsequently showed that dagger compact closed categories can also describe mixed quantum computation, where th...

The present authors introduced the notion of weakly unobstructed Lagrangian submanifolds and constructed their potential function PO purely in terms of A-model data in [FOOO3]. In this paper, we carry out explicit calculations involving PO on toric manifolds and study the relationship between this class of Lagrangian submanifolds with the earlier work of Givental [Gi1] which advocates that quan...