in the present paper we introduce and study the notion of pairwise weakly lindelof bitopological spaces and obtain some results. further, we also study the pairwise weakly lindelof subspaces and subsets, and investigate some of their properties. it was proved that a pairwise weakly lindelof property is not a hereditary property.

In the present paper we introduce and study the notion of pairwise weakly Lindelof bitopological spaces and obtain some results. Further, we also study the pairwise weakly Lindelof subspaces and subsets, and investigate some of their properties. It was proved that a pairwise weakly Lindelof property is not a hereditary property.

We define a space (X,T) to be I-Lindelof if every cover of X by regular closed subsets of the space (X,T) contains a countable subfamily ′ such that X = {int(A) : A ∈ ′}. We provide several characterizations of I-Lindelof spaces and relate them to some other previously known classes of spaces, for example, rc-Lindelof, nearly Lindelof, and so forth. Our study here of I-Lindelof spaces also deal...

Let A = (a ij) be a real n n matrix with non-negative entries which are weakly increasing down columns. If B = (b ij) is the nn matrix where b ij := a ij +z; then we conjecture that all of the roots of the permanent of B, as a polynomial in z; are real. Here we establish several special cases of the conjecture.

We consider a square matrix Aǫ whose entries have asymptotics of the form (Aǫ) ij = a ij ǫ A ij + o(ǫ A ij) when ǫ goes to 0, for some complex coefficients a ij and real exponents A ij. We look for asymptotics of the same type for the eigenvalues of Aǫ. We show that the sequence of exponents of the eigenvalues of Aǫ is weakly (super) majorized by the sequence of corners of the min-plus characte...

We study this and associated theorems in the context of a logmodular function algebra and, in particular, in the Banach algebra, H, of bounded analytic functions on D. Those multiplicative linear functionals (homomorphisms) on if which are in the weak* closure of some Stolz angle at 1 are called Stolz homomorphisms. We call a homomorphism h a Lindelof homomorphism provided h(f) = 0 whenever ess...

Electric-field controlled spin reversal in a quantum dot with ferromagnetic contacts Hauptmann, Jonas Rahlf; Paaske, Jens; Lindelof, Poul Erik Published in: Nature Physics DOI: 10.1038/nphys931 Publication date: 2008 Document Version Early version, also known as pre-print Citation for published version (APA): Hauptmann, J. R., Paaske, J., & Lindelof, P. E. (2008). Electric-field controlled spin...

For each n, let $$A_n=(\sigma _{ij})$$ be an $$n\times n$$ deterministic matrix and $$X_n=(X_{ij})$$ random with i.i.d. centered entries of unit variance. In the companion article (Cook et al. in Electron J Probab 23:Paper No. 110, 61, 2018), we considered empirical spectral distribution $$\mu _n^Y$$ rescaled entry-wise product $$\begin{aligned} Y_n = \frac{1}{\sqrt{n}} A_n\odot X_n \left( \sig...