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Author: Ronald Larsen Publisher: Springer Science & Business Media ISBN: 3642650309 Category : Mathematics Languages : en Pages : 304
Book Description
When I first considered writing a book about multipliers, it was my intention to produce a moderate sized monograph which covered the theory as a whole and which would be accessible and readable to anyone with a basic knowledge of functional and harmonic analysis. I soon realized, however, that such a goal could not be attained. This realization is apparent in the preface to the preliminary version of the present work which was published in the Springer Lecture Notes in Mathematics, Volume 105, and is even more acute now, after the revision, expansion and emendation of that manuscript needed to produce the present volume. Consequently, as before, the treatment given in the following pages is eclectric rather than definitive. The choice and presentation of the topics is certainly not unique, and reflects both my personal preferences and inadequacies, as well as the necessity of restricting the book to a reasonable size. Throughout I have given special emphasis to the func tional analytic aspects of the characterization problem for multipliers, and have, generally, only presented the commutative version of the theory. I have also, hopefully, provided too many details for the reader rather than too few.
Author: Ronald Larsen Publisher: Springer Science & Business Media ISBN: 3642650309 Category : Mathematics Languages : en Pages : 304
Book Description
When I first considered writing a book about multipliers, it was my intention to produce a moderate sized monograph which covered the theory as a whole and which would be accessible and readable to anyone with a basic knowledge of functional and harmonic analysis. I soon realized, however, that such a goal could not be attained. This realization is apparent in the preface to the preliminary version of the present work which was published in the Springer Lecture Notes in Mathematics, Volume 105, and is even more acute now, after the revision, expansion and emendation of that manuscript needed to produce the present volume. Consequently, as before, the treatment given in the following pages is eclectric rather than definitive. The choice and presentation of the topics is certainly not unique, and reflects both my personal preferences and inadequacies, as well as the necessity of restricting the book to a reasonable size. Throughout I have given special emphasis to the func tional analytic aspects of the characterization problem for multipliers, and have, generally, only presented the commutative version of the theory. I have also, hopefully, provided too many details for the reader rather than too few.
Author: Liz Wiseman Publisher: Harper Collins ISBN: 0061964395 Category : Business & Economics Languages : en Pages : 358
Book Description
Are you a genius or a genius maker? We've all had experience with two dramatically different types of leaders. The first type drain intelligence, energy, and capability from the ones around them and always need to be the smartest ones in the room. These are the idea killers, the energy sappers, the diminishers of talent and commitment. On the other side of the spectrum are leaders who use their intelligence to amplify the smarts and capabilities of the people around them. When these leaders walk into a room, lightbulbs go off over people's heads, ideas flow, and problems get solved. These are the leaders who inspire employees to stretch themselves to deliver results that surpass expectations. These are the Multipliers. And the world needs more of them, especially now, when leaders are expected to do more with less. In this engaging and highly practical book, leadership expert Liz Wiseman and management consultant Greg McKeown explore these two leadership styles, persuasively showing how Multipliers can have a resoundingly positive and profitable effect on organizations—getting more done with fewer resources, developing and attracting talent, and cultivating new ideas and energy to drive organizational change and innovation. In analyzing data from more than 150 leaders, Wiseman and McKeown have identified five disciplines that distinguish Multipliers from Diminishers. These five disciplines are not based on innate talent; indeed, they are skills and practices that everyone can learn to use—even lifelong and recalcitrant Diminishers. Lively, real-world case studies and practical tips and techniques bring to life each of these principles, showing you how to become a Multiplier too, whether you are a new or an experienced manager. Just imagine what you could accomplish if you could harness all the energy and intelligence around you. Multipliers will show you how.
Author: K. B. Laursen Publisher: Oxford University Press ISBN: 9780198523819 Category : Mathematics Languages : en Pages : 610
Book Description
Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research.
Author: Pere Ara Publisher: Springer Science & Business Media ISBN: 9781852332372 Category : Mathematics Languages : en Pages : 346
Book Description
Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C*-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A". This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A" is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C*-algebra A becomes inner in A", though 8 may not be inner in A. The transition from A to A" however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C*-algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A". In such a situation, A is typically enlarged by its multiplier algebra M(A).
Author: Claude Gnos Publisher: Routledge ISBN: 1134361939 Category : Business & Economics Languages : en Pages : 398
Book Description
The multiplier is a central concept in Keynesian and post-Keynesian economics. It is largely what justifies activist full-employment fiscal policy: an increase in fiscal expenditures contributing to multiple rounds of spending, thereby financing itself. Yet, while a copingstone of post-Keynesian theory, it is not universally accepted by
Author: Vern I. Paulsen Publisher: Cambridge University Press ISBN: 1316558738 Category : Mathematics Languages : en Pages : 193
Book Description
Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.
Author: Ronald Larsen
Author: Ronald Larsen
Author: Ronald Larsen
Author: Liz Wiseman
Author: K. B. Laursen
Author: Hugo Hegeland
Author: Pere Ara
Author: Claude Gnos
Author: David W. Leiby
Author: Vern I. Paulsen
Author: John Maynard Keynes