Limit operators, collective compactness, and the spectral theory of infinite matrices

In the first half of this memoir we explore the interrelationships between the abstract theory of limit operators (see e.g. the recent monographs of Rabinovich, Roch and Silbermann (2004) and Lindner (2006)) and the concepts and results of the generalised collectively compact operator theory introduced by Chandler-Wilde and Zhang (2002). We build up to results obtained by applying this generalised collectively compact operator theory to the set of limit operators of an operator (its operator spectrum). In the second half of this memoir we study bounded linear operators on the generalised sequence space , where and is some complex Banach space. We make what seems to be a more complete study than hitherto of the connections between Fredholmness, invertibility, invertibility at infinity, and invertibility or injectivity of the set of limit operators, with some emphasis on the case when the operator is a locally compact perturbation of the identity. Especially, we obtain stronger results than previously known for the subtle limiting cases of and . Our tools in this study are the results from the first half of the memoir and an exploitation of the partial duality between and and its implications for bounded linear operators which are also continuous with respect to the weaker topology (the strict topology) introduced in the first half of the memoir. Results in this second half of the memoir include a new proof that injectivity of all limit operators (the classic Favard condition) implies invertibility for a general class of almost periodic operators, and characterisations of invertibility at infinity and Fredholmness for operators in the so-called Wiener algebra. In two final chapters our results are illustrated by and applied to concrete examples. Firstly, we study the spectra and essential spectra of discrete Schrödinger operators (both self-adjoint and non-self-adjoint), including operators with almost periodic and random potentials. In the final chapter we apply our results to integral operators on .

An exploration of the role duality experienced by HR professionals as both implementers and recipients of HR practices: evidence from the Indian railways

This study provides an innovative perspective on empirically assessing HR by focusing on the duality of HR professionals’ experiences as both implementers and recipients or internal customers of HR practices given that they are also employees of the organization. We hypothesize that HR professionals experience HR practices more favorably from an implementer perspective as compared to an internal customer perspective. These differences in experiences are likely to be influenced by HR professionals’ hierarchical position in the HR department. Our analyses of 1,271 HR professionals employed by Indian Railways revealed a number of differences between the two types of experience. Some practices (recruitment and selection, training, and employee welfare) were viewed more negatively from the implementer perspective, whereas others (compensation, benefits, and employment relations) were rated more negatively from the internal customer perspective. Those holding more senior HR positions reported more positive experiences of training and employment relations from an internal customer perspective. Overall our contributions draw on the attribution theory and concepts of intraorganizational power and voice, and have implications concerning the effectiveness of HR practices. © 2015 Wiley Periodicals, Inc.

A structuration theory perspective on the institutional change in Higher Education sector

Budgeting system has been traditionally viewed as a control mechanism rather than a communication tool to facilitate the institutionalisation of organisational change. A good budgeting system not only reflects the organisational reality but also socially constructs the reality. This paper uses the structuration perspective to understand budget-related behaviour in a UK research-intensive university and especially, study the role of budgeting system in achieving organisational sustainability. Giddens’ structuration theory offers a valuable framework for the study of the duality of structure and emphasises on the structural properties of social systems. Based on the semi-structured interviews with top management and budget holders, it is concluded that in this specific context, budgeting system may place a significant role in establishing and legitimising institutional change.