On Semi-weakly n-Hyponormal Weighted Shifts

Semi-weak n-hyponormality is defined and studied using the notion of positive determinant partition. Several examples related to semi-weakly n-hyponormal weighted shifts are discussed. In particular, it is proved that there exists a semi-weakly three-hyponormal weighted shift W (alpha) with alpha (0) = alpha (1) < alpha (2) which is not two-hyponormal, which illustrates the gaps between various weak subnormalities.

Quadratically Hyponormal Weighted Shifts with Recursive Tail

We characterize positive quadratic hyponormality of the weighted shift W-alpha(x) associated to the weight sequence alpha(x) : 1, 1, root x, (root u, root v, root w)(Lambda) with Stampfli recursive tail, and produce an interval in x with non-empty interior in the positive real line for quadratic hyponormality but not positive quadratic hyponormality for such a shift. (C) 2013 Elsevier Inc. All rights reserved.

Backward Extensions of Recursively Generated Weighted Shifts and Quadratic Hyponormality

Given the weight sequence for a subnormal recursively generated weighted shift on Hilbert space, one approach to the study of classes of operators weaker than subnormal has been to form a backward extension of the shift by prefixing weights to the sequence. We characterize positive quadratic hyponormality and revisit quadratic hyponormality of certain such backward extensions of arbitrary length, generalizing earlier results, and also show that a function apparently introduced as a matter of convenience for quadratic hyponormality actually captures considerable information about positive quadratic hyponormality.

Transnational Marriage: Modern Imaginings, Relational Realignments, and Persistent Inequalities

In the context of shifting cultural anchors as well as unstable global economic conditions, new practices of intimacy and sexuality may become tactics in an individual’s negotiation of conflicting desires and potentials. This article offers reflection on the interface between global forces, powerful transcultural narratives, and state policies, on the one hand, and local, even individual, constructions and tactics in regard to sexuality, marriage, migration, and work, on the other. The article focuses on the life trajectory of Gudiya, an ambitious young Hindu woman who started out life with little social capital and few economic resources in a dusty corner of what was then the tiny kingdom of Nepal. Gudiya’s story highlights the ways in which she has engaged in relational realignments aimed at bringing her closer to the life she imagines, even as she has encountered new and persistent forms of inequality both local and transnational in scale.