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This book is a self-contained advanced monograph on inequalities involving the numerical radius of bounded linear operators acting on complex Hilbert spaces. The study of numerical range and numerical radius has a long and distinguished history starting from the Rayleigh quotients used in the 19th century to nowadays applications in quantum information theory and quantum computing. This monograph is intended for use by both researchers and graduate students of mathematics, physics, and engineering who have a basic background in functional analysis and operator theory. The book provides several challenging problems and detailed arguments for the majority of the results. Each chapter ends with some notes about historical views or further extensions of the topics. It contains a bibliography of about 180 items, so it can be used as a reference book including many classical and modern numerical radius inequalities.
Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.
This book addresses the different problems, practices, challenges and opportunities in sustainable resource management with the help of decision-making techniques to showcase the relevance of computational modelling approaches in sustainable management and Industry 4.0. It aims to address the inherent complexity of managing ecosystems, particularly with respect to involvement of multi-stakeholders, lack of information and uncertainties. Critical analyses are made to point out the need for, and propose a call to, a new way of thinking about sustainable resource management. This book will be useful for academicians, researchers, and industrialists in the field of industrial and production engineering.
From a review of the first edition: Beautifully written and well organized ... indispensable for those interested in certain areas of mathematical physics ... for the expert and beginner alike. The author deserves to be congratulated both for his work in unifying a subject and for showing workers in the field new directions for future development. --Zentralblatt MATH This is a second edition of a well-known book on the theory of trace ideals in the algebra of operators in a Hilbert space. Because of the theory's many different applications, the book was widely used and much in demand. For this second edition, the author has added four chapters on the closely related theory of rank one perturbations of self-adjoint operators. He has also included a comprehensive index and an addendum describing some developments since the original notes were published. This book continues to be a vital source of information for those interested in the theory of trace ideals and in its applications to various areas of mathematical physics.
This volume advances the scientific understanding, development, and application of geospatial technologies related to groundwater resource management, mapping, monitoring, and modelling using up-to-date remote sensing and GIS techniques. The book further provides a critical analysis of the debates and discourses surrounding groundwater resources and society, illustrates the relationship between groundwater resources and precision agriculture for societal development, and describes novel, region-specific management strategies and techniques for sustainability with case studies. The book is organized into three parts: (I) Groundwater resources and societal development; (II) Groundwater availab...
The golden era of food microbiology has begun. All three areas of food microbiology—beneficial, spoilage, and pathogenic microbiology—are expanding and progressing at an incredible pace. What was once a simple process of counting colonies has become a sophisticated process of sequencing complete genomes of starter cultures and use of biosensors to detect foodborne pathogens. Capturing these developments, Fundamental Food Microbiology, Fifth Edition broadens coverage of foodborne diseases to include new and emerging pathogens as well as descriptions of the mechanism of pathogenesis. Written by experts with approximately fifty years of combined experience, the book provides an in-depth und...
This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based...
Experts must be able to analyze and distinguish all materials, or combinations of materials, in use today-whether they be metals, ceramics, polymers, semiconductors, or composites. To understand a material's structure, how that structure determines its properties, and how that material will subsequently work in technological applications, researche
This book introduces the fundamental concepts of inverse heat transfer problems. It presents in detail the basic steps of four techniques of inverse heat transfer protocol, as a parameter estimation approach and as a function estimation approach. These techniques are then applied to the solution of the problems of practical engineering interest involving conduction, convection, and radiation. The text also introduces a formulation based on generalized coordinates for the solution of inverse heat conduction problems in two-dimensional regions.
This volume explores the latest techniques and strategies used to study the field of peptide macrocycles. The chapters in this book ae organized into four parts: macrocycles synthesis, combinational library synthesis and screening, macrocycle characterization, and unique applications. Part One looks at a variety of peptide cyclization methodologies, and Part Two describes methods for the creation of peptide macrocycles libraries and their subsequent screening against biological targets of interest. Part Three discusses the study and characterization of peptide macrocycle-target interactions, and Part Four introduces unique applications for peptide macrocycles, from higher-order structure for...