William T. Ross's Books

Macbeth

By: William Shakespeare

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This is the most extensively annotated edition of Macbeth currently available, offering a thorough reconsideration of one of Shakespeare's most popular plays. A full and accessible introduction studies the immediate theatrical and political contexts of Macbeth's composition, especially the Gunpowder Plot and the contemporary account of an early performance at the Globe. It treats such celebrated issues as whether the Witches compel Macbeth to murder; whether Lady Macbeth is herself a witch; whether Banquo is Macbeth's accomplice in crime and what criticism is levelled against Macduff. An extensive, well-illustrated account of the play in performance examines several cinematic versions, such as those by Kurosawa and Roman Polanski, and other dramatic adaptations. Several possible new sources are suggested, and the presence of Thomas Middleton's writing in the play is proposed. Appendixes contain additional text and accompanying music.

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Page Count

308

Publisher

Cambridge University Press

Published Date

ISBN 10

052129455X

ISBN 13

9780521294553

The Backward Shift on the Hardy Space

By: Joseph A. Cima,William T. Ross

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The Backward Shift on the Hardy Space

By: Joseph A. Cima,William T. Ross

Shift operators on Hilbert spaces of analytic functions play an important role in the study of bounded linear operators on Hilbert spaces since they often serve as models for various classes of linear operators. For example, "parts" of direct sums of the backward shift operator on the classical Hardy space H2 model certain types of contraction operators and potentially have connections to understanding the invariant subspaces of a general linear operator. This book is a thorough treatment of the characterization of the backward shift invariant subspaces of the well-known Hardy spaces H{p}. The characterization of the backward shift invariant subspaces of H{p} for 1

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Page Count

215

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821820834

ISBN 13

9780821820834

Function Theory and ℓp Spaces

By: Raymond Cheng,Javad Mashreghi,William T. Ross

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Function Theory and ℓp Spaces

By: Raymond Cheng,Javad Mashreghi,William T. Ross

The classical ℓp sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area (the basic inequalities, duality, convexity, geometry) as well as connects them to the function theory (boundary growth conditions, zero sets, extremal functions, multipliers, operator theory) of the associated spaces ℓpA of analytic functions whose Taylor coefficients belong to ℓp. Relations between the Banach space ℓp and its associated function space are uncovered using tools from Banach space geometry, including Birkhoff-James orthogonality and the resulting Pythagorean inequalities. The authors survey the literature on all of this material, including a discussion of the multipliers of ℓpA and a discussion of the Wiener algebra ℓ1A. Except for some basic measure theory, functional analysis, and complex analysis, which the reader is expected to know, the material in this book is self-contained and detailed proofs of nearly all the results are given. Each chapter concludes with some end notes that give proper references, historical background, and avenues for further exploration.

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Page Count

219

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470455935

ISBN 13

9781470455934

The Origins of the Grand Alliance

Anglo-American Military Collaboration from the Panay Incident to Pearl Harbor

By: William T. Johnsen

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The Origins of the Grand Alliance

Anglo-American Military Collaboration from the Panay Incident to Pearl Harbor

By: William T. Johnsen

This “uncommonly astute study” examines the early development of the US-UK military alliance that would eventually lead to victory in WWII (Paul Miles, author of FDR’s Admiral). On December 12, 1937, Japanese aircraft sank the American gunboat Panay outside Nanjing, China. Although the Japanese apologized, President Roosevelt set Captain Royal Ingersoll to London to begin conversations with the British admiralty about Japanese aggression in the Far East. While few Americans remember the Panay Incident, it was the start of what would become the “Special Relationship” between the United States and Great Britain. In The Origins of the Grand Alliance, William T. Johnsen provides the first comprehensive analysis of Anglo-American military collaboration before the Second World War. He sets the stage by examining Anglo-French and Anglo-American coalition military planning from 1900 through World War I and the interwar years. Johnsen also considers the formulation of policy and grand strategy, operational planning, and the creation of the command structure and channels of communication. He addresses vitally important logistical and materiel issues, particularly the difficulties of war production. Drawn from extensive sources and private papers held in the United Kingdom, Canada, and the United States, Johnsen’s exhaustively researched study casts new light on the twentieth century’s most significant alliance.

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Page Count

293

Publisher

University Press of Kentucky

Published Date

ISBN 10

0813168368

ISBN 13

9780813168364

Finite Blaschke Products and Their Connections

By: Stephan Ramon Garcia,Javad Mashreghi,William T. Ross

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Finite Blaschke Products and Their Connections

By: Stephan Ramon Garcia,Javad Mashreghi,William T. Ross

This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields. Old favorites such as the Carathéodory approximation and the Pick interpolation theorems are featured, as are many topics that have never received a modern treatment, such as the Bohr radius and Ritt's theorem on decomposability. Deep connections to hyperbolic geometry are explored, as are the mapping properties, zeros, residues, and critical points of finite Blaschke products. In addition, model spaces, rational functions with real boundary values, spectral mapping properties of the numerical range, and the Darlington synthesis problem from electrical engineering are also covered. Topics are carefully discussed, and numerous examples and illustrations highlight crucial ideas. While thorough explanations allow the reader to appreciate the beauty of the subject, relevant exercises following each chapter improve technical fluency with the material. With much of the material previously scattered throughout mathematical history, this book presents a cohesive, comprehensive and modern exposition accessible to undergraduate students, graduate students, and researchers who have familiarity with complex analysis.

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Page Count

340

Publisher

Springer

Published Date

ISBN 10

3319782479

ISBN 13

9783319782478

Operator Theory by Example

By: Stephan Ramon Garcia,Javad Mashreghi,William T. Ross

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Operator Theory by Example

By: Stephan Ramon Garcia,Javad Mashreghi,William T. Ross

Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory. Rather than discuss the subject in the abstract, this textbook covers the subject through twenty examples of a wide variety of operators, discussing the norm, spectrum, commutant, invariant subspaces, and interesting properties of each operator. The text is supplemented by over 600 end-of-chapter exercises, designed to help the reader master the topics covered in the chapter, as well as providing an opportunity to further explore the vast operator theory literature. Each chapter also contains well-researched historical facts which place each chapter within the broader context of the development of the field as a whole.

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Page Count

529

Publisher

Oxford University Press

Published Date

ISBN 10

019267885X

ISBN 13

9780192678850

Book's by William T. Ross

Macbeth

Macbeth

The Backward Shift on the Hardy Space

The Backward Shift on the Hardy Space

Function Theory and ℓp Spaces

Function Theory and ℓp Spaces

The Origins of the Grand Alliance

The Origins of the Grand Alliance

Finite Blaschke Products and Their Connections

Finite Blaschke Products and Their Connections

Operator Theory by Example

Operator Theory by Example

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