Keyword

normal operators

Description: Normal operators are linear operators that commute with their adjoints, a class studied in functional analysis and operator theory.

Primary topic: Holomorphic and Operator Theory (43%)

Wikidata ID: wiki/Q854946

OpenAlex ID: keywords/normal-operators

Linear Operators on Hilbert Spaces

2007 · Springer undergraduate mathematics series · 991

A Course in Operator Theory

1999 · John Conway · Graduate studies in mathematics · 530

Numerical Range: The Field of Values of Linear Operators and Matrices

1996 · Karl E. Gustafson · 458

Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren

1930 · J. v. Neumann · Mathematische Annalen · 310

Spectral Theory of Linear Operators

2007 · B. Ghaemi · Birkhäuser Basel eBooks · 303

Invariant Subspaces

1973 · Heydar Radjavi, Peter Rosenthal · Springer eBooks · 281

Introduction to Hilbert Space

1961 · S. K. Berberian · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · 280

A Commutativity Theorem for Normal Operators

1950 · Bent Fuglede · Proceedings of the National Academy of Sciences · 273

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Continuous Slice Functional Calculus in Quaternionic Hilbert Spaces

2013 · RICCARDO GHILONI, VALTER MORETTI, et al. · Reviews in Mathematical Physics · 235

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Lifting solutions to perturbing problems in C*-algebras

1996 · Terry A. Loring · CERN Document Server (European Organization for Nuclear Research) · 221

Normal Dilations and Extensions of Operators

1983 · Paul R. Halmos · Springer eBooks · 210

Composition Operators on Function Spaces

1993 · North-Holland mathematics studies · 208

Invariant subspaces and unstarred operator algebras

1966 · Donald Sarason · Pacific Journal of Mathematics · 200

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Introduction to Operator Theory and Invariant Subspaces

1988 · North-Holland mathematical library · 197

On Normal Operators in Hilbert Space

1951 · C. R. Putnam · American Journal of Mathematics · 182

Approximate Proper Vectors

1962 · Sterling K. Berberian · Proceedings of the American Mathematical Society · 168

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Hyponormal Operators and Spectral Density

1965 · J. G. Stampfli · Transactions of the American Mathematical Society · 153

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Noncommutative Köthe duality

1993 · Peter G. Dodds, Theresa K.-Y. Dodds, et al. · Transactions of the American Mathematical Society · 148

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The Normal Constants of Motion in Quantum Mechanics Treated by Projection Technique

1962 · Per-Olov Löwdin · Reviews of Modern Physics · 139

On Invariant Subspaces of Normal Operators

1952 · John Wermer · Proceedings of the American Mathematical Society · 139

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Perturbation of spectral subspaces and solution of linear operator equations

1983 · Rajendra Bhatia, Chandler Davis, et al. · Linear Algebra and its Applications · 128

Sparsity- and continuity-promoting seismic image recovery with curvelet frames

2007 · Felix J. Herrmann, Peyman Moghaddam, et al. · Applied and Computational Harmonic Analysis · 126

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Hyponormal operators

1962 · Joseph Stampfli · Pacific Journal of Mathematics · 126

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Stability estimates for the X-ray transform of tensor fields and boundary rigidity

2004 · Plamen Stefanov, Gunther Uhlmann · Duke Mathematical Journal · 123

Localization phenomena in structural dynamics

2000 · O.O. Bendiksen · Chaos Solitons & Fractals · 122

Works count: 2,318

Citation count: 20,020