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The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.
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Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between complex and quaternionic operator theory. The theory for quaternionic right linear operators is usually formulated under the assumption that there exists not only a right- but also a left-multiplication on the considered Banach space $V$. This has technical reasons, as the space of bounded operators on $V$ is otherwise not a quaternionic linear space. A right linear operator is however only associated with the right multiplication on the space and in certain settings, for instance on quaternionic Hilbert spaces, the left multiplication is not defined a priori, but must be chosen randomly. Spectral properties of an operator should hence be independent of the left multiplication on the space.
The role of women in Islamic societies, not to mention in the religion itself, is a defining issue. It is also one that remains resistant to universal dogma, with a wide range of responses to women’s social roles across the Islamic world. Reflecting this heterogeneity, the editor of this volume has assembled the latest research on the issue, which combines contemporary with historical data. The material comes from around the world as well as from Muslim and non-Muslim researchers. It takes in work from majority Muslim nations such as Bangladesh, Iran, Iraq, Lebanon, Pakistan, Palestine, Tunisia and Turkey, as well as countries with troubled interfaith relations such as India and Israel. Nations with minority Muslim populations such as France, the UK, Canada and Australia, are also represented. The work also features varying Islamic sub-groups such as the two main ones, Sunni and Shi’a, as well as less well known populations such as the Ismaili Muslims. In each case, the work is underpinned by the very latest socio-theological insights and empirical data.
This lucid and timely volume sheds a sober and thought-provoking light on the immense social and political changes that have taken place in the Middle East and North Africa over recent years. A range of emerging scholars and established academics at the cutting edge of their fields provide interpretations challenging conventional assumptions relating to governance, social placidity, the use of social media, state-driven reform, and the role of traditionally marginalised groups in these strategically vital regions. This volume offers a strong response to the often misinformed and underdeveloped mainstream conceptions of revolutionary change and reform in the Middle East and North Africa. Seeking to recast and re-evaluate the paradigms used to interpret change in the Arab, Persian and Turkish worlds, the chapters in this volume will spark debate and provide much needed clarity to the current issues rocking the Middle East and North Africa. Islamic Studies Series - Volume 17
This book explores the interface between terrorism and the internet and presents contemporary approaches to understanding violent extremism online. The volume focuses on four issues in particular: terrorist propaganda on the internet; radicalisation and the internet; counter campaigns and approaches to disrupting internet radicalisation; and approaches to researching and understanding the role of the internet in radicalisation. The book brings together expertise from a wide range of disciplines and geographical regions including Europe, the US, Canada and Australia. These contributions explore the various roles played by the Internet in radicalisation; the reasons why terroristic propaganda ...
One of the most exciting developments in medicine in this century has been the discovery of opioid receptors and their pharmacology. The breadth of know- edge derived from such discovery has truly changed the practice of medicine today. The acceptance by the clinicians of the research data obtained by the basic scientist on spinal opioids is truly amazing. The clinical sequelae of the discovery of opioid receptors has been the development of the technique of intraspinal administration of opioids. In the last decade much has been written about indications, effects, and side effects of intraspinal opioids. The technique has become commonplace for cancer and postoperative pain. However, no stan...