Smooth Operator Meaning


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Strict Convexity and Complex Strict Convexity


Strict Convexity and Complex Strict Convexity

Author: Vasile I. Istratescu

language: en

Publisher: Routledge

Release Date: 2017-10-19


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This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized,accessible format.After introducing the subject through a discussion of the basic results of linear functionalanalysis, this unique book proceeds to investigate the characteristics of strictly convexspaces and related classes, including uniformly convex spaces, and examine important applicationsregarding approximation theory and fixed point theory. Following this extensivetreatment, the book discusses complex strictly convex spaces and related spaces- alsowith applications. Complete, clearly elucidated proofs accompany results throughout thebook, and ample references are provided to aid further research of the subject.Strict Convexity and Complex Strict Convexity is essential fot mathematicians and studentsinterested in geometric theory of Banach spaces and applications to approximationtheory and fixed point theory, and is of great value to engineers working in optimizationstudies. In addition, this volume serves as an excellent text for a graduate course inGeometric Theory of Banach Spaces.

Religious Hair Display and Its Meanings


Religious Hair Display and Its Meanings

Author: William C. Innes, Jr

language: en

Publisher: Springer Nature

Release Date: 2021-04-30


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This book explores the fascinating world of religious hair observances within six religious traditions that account for 77% of the world’s adherents: Judaism, Christianity, Islam, Hinduism, Buddhism, and Sikhism. Symbolic use of hair has been, and remains, prevalent in all six and carries significant amounts of religious and social meaning. Hair is a unique body substance. It can be shaped and colored, removed from us without pain but still retain an individual’s essence, signal our age, sex, and sexual maturity, and much, much more. The book’s approach is to situate each practice within its tradition. That requires a study of its foundational leaders and their teachings, sacred texts (where they mention hair), its rites and rituals, ideas of religious power and subsequent historical development. Contemporary practitioners are interviewed for their motivations. Even more insight can be gleaned by searching beyond an overt religious purpose. Social scientists from anthropology, sociology, psychology, and related fields bring their research to deliver added perceptions. The author reveals how hair practices are created from ancient psychological and cultural impulses, become modified by time, culture and religious intent, and are adopted by adherents for reasons ranging from personal religious expression to group identity. This book is written for the interested observer of our increasingly diverse society and for the student of comparative religion and sociology. It will change forever how you see hair.

Mathematical Scattering Theory


Mathematical Scattering Theory

Author: Baumgärtel

language: en

Publisher: Birkhäuser

Release Date: 2013-12-11


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The aim of this book is to give a systematic and self-contained presentation of the Mathematical Scattering Theory within the framework of operator theory in Hilbert space. The term Mathematical Scattering Theory denotes that theory which is on the one hand the common mathematical foundation of several physical scattering theories (scattering of quantum objects, of classical waves and particles) and on the other hand a branch of operator theory devoted to the study of the behavior of the continuous part of perturbed operators (some authors also use the term Abstract Scattering Theory). EBBential contributions to the development of this theory are due to K. FRIEDRICHS, J. CooK, T. KATo, J. M. JAuCH, S. T. KURODA, M.S. BmMAN, M.G. KREiN, L. D. FAD DEEV, R. LAVINE, W. 0. AMREIN, B. SIMoN, D. PEARSON, V. ENss, and others. It seems to the authors that the theory has now reached a sufficiently developed state that a self-contained presentation of the topic is justified.