Operator #5

Operator #5

Author: Curtis Steele

Publisher: Wildside Press LLC

Published: 2008-07-23

Total Pages: 158

ISBN-13: 1434474879

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Ripped from the pages of the October, 1934 issue of "Operator #5" magazine, here is the lead novel -- Invasion of the Dark Legions! A ghost ship sailed silently through the moon-lit night, manned by a crew of dead men. Jimmy Christopher stands frozen with terror at the sight before his eyes - an evidence of bacteriological warfare, of a foreign dictator's first death-blow at the heart of a nation. It foreshadows the epidemics of ravishing, man-made plagues which are to come - the midnight of a powerful, secret army, already assembled within the land their power-maddened master covets. What vicious undercover emissary plots this wholesale murder? How can Operator 5 hope to save the country he loves from the slave-yoke of a greedy, foreign demagogue?


Operator Methods in Quantum Mechanics

Operator Methods in Quantum Mechanics

Author: Martin Schechter

Publisher: Courier Corporation

Published: 2003-02-03

Total Pages: 350

ISBN-13: 0486425479

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Starting with a simple quantum theory postulate, this text introduces mathematical techniques that help answer questions important to physical theory. The entire book is devoted to study of a particle moving in a straight line; students develop mathematical techniques by answering questions about the particle. 1981 edition.


Convex Analysis and Monotone Operator Theory in Hilbert Spaces

Convex Analysis and Monotone Operator Theory in Hilbert Spaces

Author: Heinz H. Bauschke

Publisher: Springer

Published: 2017-02-28

Total Pages: 624

ISBN-13: 3319483110

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This reference text, now in its second edition, offers a modern unifying presentation of three basic areas of nonlinear analysis: convex analysis, monotone operator theory, and the fixed point theory of nonexpansive operators. Taking a unique comprehensive approach, the theory is developed from the ground up, with the rich connections and interactions between the areas as the central focus, and it is illustrated by a large number of examples. The Hilbert space setting of the material offers a wide range of applications while avoiding the technical difficulties of general Banach spaces. The authors have also drawn upon recent advances and modern tools to simplify the proofs of key results making the book more accessible to a broader range of scholars and users. Combining a strong emphasis on applications with exceptionally lucid writing and an abundance of exercises, this text is of great value to a large audience including pure and applied mathematicians as well as researchers in engineering, data science, machine learning, physics, decision sciences, economics, and inverse problems. The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly expands on the first edition, containing over 140 pages of new material, over 270 new results, and more than 100 new exercises. It features a new chapter on proximity operators including two sections on proximity operators of matrix functions, in addition to several new sections distributed throughout the original chapters. Many existing results have been improved, and the list of references has been updated. Heinz H. Bauschke is a Full Professor of Mathematics at the Kelowna campus of the University of British Columbia, Canada. Patrick L. Combettes, IEEE Fellow, was on the faculty of the City University of New York and of Université Pierre et Marie Curie – Paris 6 before joining North Carolina State University as a Distinguished Professor of Mathematics in 2016.


Elements of Operator Theory

Elements of Operator Theory

Author: Carlos S. Kubrusly

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 535

ISBN-13: 1475733283

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{\it Elements of Operatory Theory} is aimed at graduate students as well as a new generation of mathematicians and scientists who need to apply operator theory to their field. Written in a user-friendly, motivating style, fundamental topics are presented in a systematic fashion, i.e., set theory, algebraic structures, topological structures, Banach spaces, Hilbert spaces, culminating with the Spectral Theorem, one of the landmarks in the theory of operators on Hilbert spaces. The exposition is concept-driven and as much as possible avoids the formula-computational approach. Key features of this largely self-contained work include: * required background material to each chapter * fully rigorous proofs, over 300 of them, are specially tailored to the presentation and some are new * more than 100 examples and, in several cases, interesting counterexamples that demonstrate the frontiers of an important theorem * over 300 problems, many with hints * both problems and examples underscore further auxiliary results and extensions of the main theory; in this non-traditional framework, the reader is challenged and has a chance to prove the principal theorems anew This work is an excellent text for the classroom as well as a self-study resource for researchers. Prerequisites include an introduction to analysis and to functions of a complex variable, which most first-year graduate students in mathematics, engineering, or another formal science have already acquired. Measure theory and integration theory are required only for the last section of the final chapter.