Keyword

compact operators

Description: Compact operators are continuous linear operators that map bounded sets to sets with compact closure, studied in functional analysis and operator theory.

Primary topic: Advanced Banach Space Theory (36%)

Wikidata ID: wiki/Q1780743

OpenAlex ID: keywords/compact-operators

Introductory functional analysis with applications

1978 · Erwin Kreyszig · 2,871

Integral Equation Methods in Scattering Theory

2013 · David Colton, Rainer Kress · Society for Industrial and Applied Mathematics eBooks · 2,382

A Course in Functional Analysis

1985 · John B. Conway · Graduate texts in mathematics · 1,658

Spectral Theory of Self-Adjoint Operators in Hilbert Space

1987 · M. S. Birman, M. Z. Solomjak · Mathematics and its applications. Soviet series · 1,387

Linear Operators in Hilbert Spaces

1980 · Joachim Weidmann · Graduate texts in mathematics · 1,081

Introduction to Functional Analysis

1997 · Reinhold Meise, Dietmar Vogt · 847

Norm Ideals of Completely Continuous Operators

1960 · Robert Schatten · Springer eBooks · 784

Riesz Spaces II

1983 · Zaanen, Adriaan Cornelis 1913- · North-Holland mathematical library · 741

Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators

2015 · Tailen Hsing, Randall Eubank · Wiley series in probability and statistics · 734

n-Widths in Approximation Theory.

1986 · K. Hollig, Allan Pinkus · Mathematics of Computation · 731

Conformal invariance in quantum mechanics

1976 · V. de Alfaro, S. Fubini, et al. · Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields · 726

Functional Analysis and Infinite-Dimensional Geometry

2001 · Marián Fabian, Petr Habala, et al. · Springer eBooks · 654

Untitled

1979 · Richard Leggett, Lynn Williams · Indiana University Mathematics Journal · 631

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Eigenvalues and s-numbers

1987 · Albrecht Pietsch · 608

Morita Equivalence and Continuous-Trace $C^*$-Algebras

1998 · Iain Raeburn, Dana P. Williams · CERN Document Server (European Organization for Nuclear Research) · 579

Principles of functional analysis

2018 · BÃ¼hler, Theo, Salamon, Dietmar · Graduate studies in mathematics · 575

Positive Operators

2006 · Charalambos D. Aliprantis, Owen Burkinshaw · Springer eBooks · 556

A Course in Operator Theory

1999 · John Conway · Graduate studies in mathematics · 530

Theory and Applications of Volterra Operators in Hilbert Space

2004 · I. Gohberg, M. Krein · Translations of mathematical monographs · 506

On the Approximation of Complicated Dynamical Behavior

1999 · Michael Dellnitz, Oliver Junge · SIAM Journal on Numerical Analysis · 501

A Primer on Spectral Theory

1991 · Bernard Aupetit · Universitext · 494

Finite element approximation of eigenvalue problems

2010 · Daniele Boffi · Acta Numerica · 485

Eigenvalue Distribution of Compact Operators

1986 · Hermann König · Operator theory · 469

Linear operators. Part II. Spectral theory

2003 · Nelson Dunford, Jacob T. Schwartz · Birkhäuser Boston eBooks · 466

Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators

1951 · Ky Fan · Proceedings of the National Academy of Sciences · 459

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Works count: 7,864

Citation count: 90,750