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Cover: 9780192863867 | Operator Theory by Example | Stephan Ramon Garcia (u. a.) | Buch
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Operator Theory by Example
Buch von Stephan Ramon Garcia (u. a.)
Sprache: Englisch

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Beschreibung
Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory, and covers twenty examples of operators, discussing the norm, spectrum, commutant, invariant subspaces, and interesting properties of each operator.
Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory, and covers twenty examples of operators, discussing the norm, spectrum, commutant, invariant subspaces, and interesting properties of each operator.
Über den Autor
Stephan Ramon Garcia is W. M. Keck Distinguished Service Professor at Pomona College. He is the author of five books and over 100 research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, combinatorics, and other fields. He has served on the editorial boards of the Proceedings of the American Mathematical Society, Notices of the American Mathematical Society, Involve, and The American Mathematical Monthly. He has received five NSF research grants as principal investigator and six teaching awards from three different institutions. He is a Fellow of the AMS and the inaugural winner of the AMS Dolciani Prize for Excellence in Research.

Javad Mashreghi completed his doctoral studies at McGill University in 2001 and then joined Laval University, where he promoted to full professorship in 2009. He has worked in numerous committees of CMS (Canadian Mathematical Society), AMS (American Mathematical Society), MCA (Mathematical Congress of Americas), NSERC (Natural Sciences and Engineering Research Council of Canada) and NSF (National Science Foundation). He served as the 35th President of the CMS (2020-2022).

William Ross is a graduate of Fordham University (Bronx, New York) and the University of Virginia (Charlottesville, Virginia) and is currently the Roger Francis and Mary Saunders Richardson Professor of Mathematics at the University of Richmond (Richmond, Virginia). He is the author of eight books and 70 papers. He has also served as an editor on several research journals in mathematics.
Inhaltsverzeichnis
  • 1: Hilbert Spaces

  • 2: Diagonal Operators

  • 3: Infinite Matrices

  • 4: Two Multiplication Operators

  • 5: The Unilateral Shift

  • 6: The Cesàro Operator

  • 7: The Volterra Operator

  • 8: Multiplication Operators

  • 9: The Dirichlet Shift

  • 10: The Bergman Shift

  • 11: The Fourier Transform

  • 12: The Hilbert Transform

  • 13: Bishop Operators

  • 14: Operator Matrices

  • 15: Constructions with the Shift Operator

  • 16: Toeplitz Operators

  • 17: Hankel Operators

  • 18: Composition Operators

  • 19: Subnormal Operators

  • 20: The Compressed Shift

Details
Erscheinungsjahr: 2023
Fachbereich: Mechanik & Akustik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 528
Inhalt: Gebunden
ISBN-13: 9780192863867
ISBN-10: 019286386X
Sprache: Englisch
Einband: Gebunden
Autor: Garcia, Stephan Ramon
Mashreghi, Javad
Ross, William T
Hersteller: Sydney University Press
Maße: 229 x 168 x 43 mm
Von/Mit: Stephan Ramon Garcia (u. a.)
Erscheinungsdatum: 30.04.2023
Gewicht: 0,998 kg
preigu-id: 125178492
Über den Autor
Stephan Ramon Garcia is W. M. Keck Distinguished Service Professor at Pomona College. He is the author of five books and over 100 research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, combinatorics, and other fields. He has served on the editorial boards of the Proceedings of the American Mathematical Society, Notices of the American Mathematical Society, Involve, and The American Mathematical Monthly. He has received five NSF research grants as principal investigator and six teaching awards from three different institutions. He is a Fellow of the AMS and the inaugural winner of the AMS Dolciani Prize for Excellence in Research.

Javad Mashreghi completed his doctoral studies at McGill University in 2001 and then joined Laval University, where he promoted to full professorship in 2009. He has worked in numerous committees of CMS (Canadian Mathematical Society), AMS (American Mathematical Society), MCA (Mathematical Congress of Americas), NSERC (Natural Sciences and Engineering Research Council of Canada) and NSF (National Science Foundation). He served as the 35th President of the CMS (2020-2022).

William Ross is a graduate of Fordham University (Bronx, New York) and the University of Virginia (Charlottesville, Virginia) and is currently the Roger Francis and Mary Saunders Richardson Professor of Mathematics at the University of Richmond (Richmond, Virginia). He is the author of eight books and 70 papers. He has also served as an editor on several research journals in mathematics.
Inhaltsverzeichnis
  • 1: Hilbert Spaces

  • 2: Diagonal Operators

  • 3: Infinite Matrices

  • 4: Two Multiplication Operators

  • 5: The Unilateral Shift

  • 6: The Cesàro Operator

  • 7: The Volterra Operator

  • 8: Multiplication Operators

  • 9: The Dirichlet Shift

  • 10: The Bergman Shift

  • 11: The Fourier Transform

  • 12: The Hilbert Transform

  • 13: Bishop Operators

  • 14: Operator Matrices

  • 15: Constructions with the Shift Operator

  • 16: Toeplitz Operators

  • 17: Hankel Operators

  • 18: Composition Operators

  • 19: Subnormal Operators

  • 20: The Compressed Shift

Details
Erscheinungsjahr: 2023
Fachbereich: Mechanik & Akustik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 528
Inhalt: Gebunden
ISBN-13: 9780192863867
ISBN-10: 019286386X
Sprache: Englisch
Einband: Gebunden
Autor: Garcia, Stephan Ramon
Mashreghi, Javad
Ross, William T
Hersteller: Sydney University Press
Maße: 229 x 168 x 43 mm
Von/Mit: Stephan Ramon Garcia (u. a.)
Erscheinungsdatum: 30.04.2023
Gewicht: 0,998 kg
preigu-id: 125178492
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