If H is a Hilbert space and T : H ? H is a continous linear operator, a natural question to ask is: What are the closed subspaces M of H for which T M ? M? Of course the famous invariant subspace problem asks whether or not T has any non-trivial invariant subspaces. This monograph is part of a long line of study of the invariant subspaces of the operator T = M (multiplication by the independent variable z, i. e. , M f = zf )on a z z Hilbert space of analytic functions on a bounded domain G in C. The characterization of these M -invariant subspaces is particularly interesting since it entails both the properties z of the functions inside the domain G, their zero sets for example, as well as the behavior of the functions near the boundary of G. The operator M is not only interesting in its z own right but often serves as a model operator for certain classes of linear operators. By this we mean that given an operator T on H with certain properties (certain subnormal operators or two-isometric operators with the right spectral properties, etc. ), there is a Hilbert space of analytic functions on a domain G for which T is unitarity equivalent to M .
A Doody's Core Title 2012 Brain Injury Medicine: Principles and Practice is a comprehensive guide to all aspects of the management issues involved in caring for the person with brain injury - from early diagnosis and evaluation through the post-acute period and rehabilitation. It is the definitive core text needed by all practitioners in this area, including physiatrists, neurologists, psychologists, nurses, and other health care professionals. Written by over 100 acknowledged leaders in the field, and containing hundreds of tables, graphs, and photographic images, the text deals with issues of neuroimaging and neurodiagnostic testing, prognosis and outcome, acute care, rehabilitative care, treatment of specific populations, neurologic problems following injury, neuromusculoskeletal problems, and general management issues. Key features include: Emphasis on a disease state management approach to patient assessment and treatment Promotion of a holistic, biopsychosocial model of patient assessment and care Review of current expert consensus on practice guidelines Exploration of epidemiologic and basic pathophysiologic aspects of brain injury Examination of clinical issues throughout the continuum of rehabilitative care Cutting edge, practical information based on the authors' extensive clinical experience that will positively impact patients and families following brain injury
Recent political theory has shifted decidedly towards ontology, the 'science of being', and thus towards examining fundamental concepts of identity, difference, space, and time. This new focus has reinvigorated questions concerning the nature of power, meaning, truth and agency, inspiring novel approaches to individual and collective subjectivity, the emergence of political events and the relationship between desire and politics. In this new study, Nathan Widder shows how Deleuze's philosophy both inspires and presses beyond political theory's 'ontological turn'. Linking his thought to current political theory debates, Widder explains how Deleuze's philosophy and ontology of difference are cashed out through a micropolitics of creative and critical experimentation. He further demonstrates how Deleuze challenges ideas of identity and the subject that still dominate both political thought and practice today. Connecting Deleuze to key figures in both classical and contemporary political philosophy, from Plato and Aristotle to Hegel, Nietzsche, Lacan, and Foucault, this book will be of interest to students and scholars in political theory, philosophy, and related disciplines, looking to engage the emerging field of Deleuze studies.
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