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 ...

In [10], we study solutions to the affine normal flow for an initial hypersurface L ⊂ R which is a convex, properly embedded, noncompact hypersurface. The method we used was to consider an exhausting sequence Li of smooth, strictly convex, compact hypersurfaces so that each Li is contained in the convex hull of Li+1 for each i, and so that Li → L locally uniformly. If the compact Li is the init...

If {Xn} is a discrete-time ^-irreducible Markov chain on a measure space (#*, 3?) [4; p. 4], with «-step transition probabilities P"(x, A), it has been shown in [5] that there exists a subset ^R of 3F with the property that, for every Ae^R and 0-almost all x € W, the power series J^P(x, A)z" have the same radius of convergence R. Moreover, there is a countable partition of 2£ all of whose eleme...

Tobacco mosaic virus (TMV) concentrations in tobacco callus tissues grown on the media containing cu-naphthaleneacetic acid (NAA) and kinetin at different concentrations were assayed periodically during successive cultures. Tobacco callus originally raised from the TMV-infected tobacco stem became green and compact when serially cultured on the medium containing lower concentration (0.01-o. 1 m...

We address the problem of finding a minimum-size set of k-mers that hits L-long sequences. The problem arises in the design of compact hash functions and other data structures for efficient handling of large sequencing datasets. We prove that the problem of hitting a given set of L-long sequences is NP-hard and give a heuristic solution that finds a compact universal k-mer set that hits any set...

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...

Suppose that G is a compact Abelian group. If A ⊂ G then how small can ‖χA‖A(G) be? In general there is no non-trivial lower bound. In [5] Green and Konyagin showed that if Ĝ has sparse small subgroup structure and A has density α with α(1−α) ≫ 1 then ‖χA‖A(G) does admit a non-trivial lower bound. To complement this [11] addressed the case where Ĝ has rich small subgroup structure and further c...

It is shown that almost superdiagonal, polynomially compact operators on the sequence space l(p i) have nontrivial, closed invariant subspaces if the nonlocally convex linear topology τ(p i) is locally bounded. 1. Introduction. The purpose of this paper is to show that almost super-diagonal, polynomially compact operators on the sequence space l(p i) have nontrivial, closed invariant subspaces ...