This instant New York Times bestseller—“a jaw-dropping, fast-paced account” (New York Post) recounts SEAL Team Operator Robert O’Neill’s incredible four-hundred-mission career, including the attempts to rescue “Lone Survivor” Marcus Luttrell and abducted-by-Somali-pirates Captain Richard Phillips, and which culminated in the death of the world’s most wanted terrorist—Osama bin Laden. In The Operator, Robert O’Neill describes his idyllic childhood in Butte, Montana; his impulsive decision to join the SEALs; the arduous evaluation and training process; and the even tougher gauntlet he had to run to join the SEALs’ most elite unit. After officially becoming a SEAL, O’Neill would spend more than a decade in the most intense counterterror effort in US history. For extended periods, not a night passed without him and his small team recording multiple enemy kills—and though he was lucky enough to survive, several of the SEALs he’d trained with and fought beside never made it home. “Impossible to put down…The Operator is unique, surprising, a kind of counternarrative, and certainly the other half of the story of one of the world’s most famous military operations…In the larger sense, this book is about…how to be human while in the very same moment dealing with death, destruction, combat” (Doug Stanton, New York Times bestselling author). O’Neill describes the nonstop action of his deployments in Iraq and Afghanistan, evokes the black humor of years-long combat, brings to vivid life the lethal efficiency of the military’s most selective units, and reveals details of the most celebrated terrorist takedown in history. This is “a riveting, unvarnished, and wholly unforgettable portrait of America’s most storied commandos at war” (Joby Warrick).

Operators are a way of packaging, deploying, and managing Kubernetes applications. A Kubernetes application doesn't just run on Kubernetes; it's composed and managed in Kubernetes terms. Operators add application-specific operational knowledge to a Kubernetes cluster, making it easier to automate complex, stateful applications and to augment the platform. Operators can coordinate application upgrades seamlessly, react to failures automatically, and streamline repetitive maintenance like backups. Think of Operators as site reliability engineers in software. They work by extending the Kubernetes control plane and API, helping systems integrators, cluster administrators, and application developers reliably deploy and manage key services and components. Using real-world examples, authors Jason Dobies and Joshua Wood demonstrate how to use Operators today and how to create Operators for your applications with the Operator Framework and SDK. Learn how to establish a Kubernetes cluster and deploy an Operator Examine a range of Operators from usage to implementation Explore the three pillars of the Operator Framework: the Operator SDK, the Operator Lifecycle Manager, and Operator Metering Build Operators from the ground up using the Operator SDK Build, package, and run an Operator in development, testing, and production phases Learn how to distribute your Operator for installation on Kubernetes clusters

The inspiration for the Netflix original movie War Machine, starring Brad Pitt, Tilda Swinton, and Ben Kingsley From the author of The Last Magazine, a shocking behind-the-scenes portrait of our military commanders, their high-stake maneuvers, and the politcal firestorm that shook the United States. In the shadow of the hunt for Bin Laden and the United States’ involvement in the Middle East, General Stanley McChrystal, the commanding general of international and U.S. forces in Afghanistan, was living large. His loyal staff liked to call him a “rock star.” During a spring 2010 trip, journalist Michael Hastings looked on as McChrystal and his staff let off steam, partying and openly bashing the Obama administration. When Hastings’s article appeared in Rolling Stone, it set off a political firestorm: McChrystal was unceremoniously fired. In The Operators, Hastings picks up where his Rolling Stone coup ended. From patrol missions in the Afghan hinterlands to senior military advisors’ late-night bull sessions to hotel bars where spies and expensive hookers participate in nation-building, Hastings presents a shocking behind-the-scenes portrait of what he fears is an unwinnable war. Written in prose that is at once eye-opening and other times uncannily conversational, readers of No Easy Day will take to Hastings’ unyielding first-hand account of the Afghan War and its cast of players.

This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem. After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts: theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification; data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control. A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.

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.

Mathematics for infinite dimensional objects is becoming more and more important today both in theory and application. Rings of operators, renamed von Neumann algebras by J. Dixmier, were first introduced by J. von Neumann fifty years ago, 1929, in [254] with his grand aim of giving a sound founda tion to mathematical sciences of infinite nature. J. von Neumann and his collaborator F. J. Murray laid down the foundation for this new field of mathematics, operator algebras, in a series of papers, [240], [241], [242], [257] and [259], during the period of the 1930s and early in the 1940s. In the introduction to this series of investigations, they stated Their solution 1 {to the problems of understanding rings of operators) seems to be essential for the further advance of abstract operator theory in Hilbert space under several aspects. First, the formal calculus with operator-rings leads to them. Second, our attempts to generalize the theory of unitary group-representations essentially beyond their classical frame have always been blocked by the unsolved questions connected with these problems. Third, various aspects of the quantum mechanical formalism suggest strongly the elucidation of this subject. Fourth, the knowledge obtained in these investigations gives an approach to a class of abstract algebras without a finite basis, which seems to differ essentially from all types hitherto investigated. Since then there has appeared a large volume of literature, and a great deal of progress has been achieved by many mathematicians.

This book is for third and fourth year university mathematics students (and Master students) as well as lecturers and tutors in mathematics and anyone who needs the basic facts on Operator Theory (e.g. Quantum Mechanists). The main setting for bounded linear operators here is a Hilbert space. There is, however, a generous part on General Functional Analysis (not too advanced though). There is also a chapter on Unbounded Closed Operators.The book is divided into two parts. The first part contains essential background on all of the covered topics with the sections: True or False Questions, Exercises, Tests and More Exercises. In the second part, readers may find answers and detailed solutions to the True or False Questions, Exercises and Tests.Another virtue of the book is the variety of the topics and the exercises and the way they are tackled. In many cases, the approaches are different from what is known in the literature. Also, some very recent results from research papers are included.

This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.

Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator theory, presented with the excellent clarity and style that readers have come to associate with Conway's writing. Early chapters introduce and review material on $C^*$-algebras, normal operators, compact operators, and non-normal operators. Some of the major topics covered are the spectral theorem, the functional calculus, and the Fredholm index. In addition, some deep connections between operator theory and analytic functions are presented. Later chapters cover more advanced topics, such as representations of $C^*$-algebras, compact perturbations, and von Neumann algebras. Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem, and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory. The last chapter gives an introduction to reflexive subspaces, which along with hyperreflexive spaces, are one of the more successful episodes in the modern study of asymmetric algebras. Professor Conway's authoritative treatment makes this a compelling and rigorous course text, suitable for graduate students who have had a standard course in functional analysis.